16. Eliminate from the following equations : i) x = a.csc0 and y = b.Seco ii) x= Sin0+ Cose and y=Sine-Cos iii) x = Sin 0+tan 0 and iv) x = tan 0 and 2 a b² (ans: i) 2 + y = Sin0-tan 0 y = tan 20 y 4 (x+y)² (x−y)² =1; ii)x² + y² =2; iii)- 2 =1; iv)y= 2x 1-x

16. Eliminate from the following equations : i) x = a.csc0 and y = b.Seco ii) x= Sin0+ Cose and y=Sine-Cos iii) x = Sin 0+tan 0 and iv) x = tan 0 and 2 a b² (ans: i) 2 + y = Sin0-tan 0 y = tan 20 y 4 (x+y)² (x−y)² =1; ii)x² + y² =2; iii)- 2 =1; iv)y= 2x 1-x

Algebra and Trigonometry (MindTap Course List)

4th Edition

ISBN:9781305071742

Author:James Stewart, Lothar Redlin, Saleem Watson

Publisher:James Stewart, Lothar Redlin, Saleem Watson

Chapter8: Polar Coordinates And Parametric Equations

Section8.CT: Chapter Test

Problem 8CT

See similar textbooks

Related questions

Q: Find the qoutient 2/1/20 2. = 6(cos+isin =) 2₂ = 1/cos= tisin sin =/ )

Q: secx=tanx+1 Write your answer (s) in radians in te If there is more than one solution, s x

Q: Any offset between a stationary radar gun and a moving target creates a "cosine effect" that reduces…

Q: The terminal side of an angle 0 in standard position passes through the point (-5,-4). Use the…

A: The Terminal side of an angle in standard position passes through

Q: s denotes the length of the arc of a circle of radius r subtended by the central angle 9. Find the…

Q: If tan x sin(2x) cos(2x) tan(2x) = 1 3 cos x > 0,, then ; ;

Q: Find the value of each of the six trigonometric functions of the angle 0 in the figure. a b a=21 and…

Q: understanding the expression. Sin Carctan 4x - arccos x)

Q: Let a be an angle in standard position whose terminal side is in the second quadrant and for which…

Q: Example 6 Video Example )) Evaluate lim x In(x³). x+0+ Solution The given limit is indeterminate…

A: Limx-0).

Q: 25. Determine the general equation of the line with a slope of-2/3 and a point that passes through…

Q: Find the length of an arc in a circle of radius 10 centimeters subtended by the central angle of…

A: Let r is the radius of the circle Let be the angle subtended Then length of the arc subtended by…

Q: . If sin A = 3/5 and A is in quadrant II while cos B = 7/25 and B is in quadrant I, find sin (A +…

Q: Let P(x, y) denote the point where the terminal side of angle (in standard position) meets the unit…

Q: Solve triangle, if possible. If necessary, round your answers to the nearest tenth. Blank 1 A =…

A: We have to solve the triangle if possible. Given, the information…

Q: Find the period and amplitude y=-1/2 sin(5x/4) period amplitude Describe realtionships…

A: Note : As per our guidelines, we can solve first question. Please repost remaining questions.

Q: (x-1) ² 16 (y + 2) ² 2 Blank 1 = 1 9 The asymptotes of this hyperbola are: Blank 1 and Blank 2 Add…

Q: Consider the following linear equations -7x + 4y + 10z = -9 -7x + (23-k)y+9z = -7 =k+12 -7x+4y+ (9-…

A: We need to solve the matrix question using augmented matrix.NOTE: As per Bartleby guidelines we can…

Q: Given A = 34.3°, b = 10.8 in., c = 5.9 in. The area of triangle is Blank 1 Blank 1 Add your answer…

A: Given, the information Then we have to find the area of the triangle.

Q: 5) 40 X 60 Billy's Response 60 40 tan x = tan-1 40 60 x = 34° = X Explain Billy's Mistake and Solve

Q: If cos(x + 7) + sin(2- со 6 the number A ㅠ 3 = A, then

Q: (1) Rewrite the trigonometric function in terms of reference angle (do not evalu sc (777) = CSC (2)…

Q: 17. Given 0 ≤ 0 <2, solve tan 0 = −√3. -V3. O 풍 ㅇ 퓽 O 警, 풍 3 ㅎ ㅇ 풍, 풍 O 3

Q: Find the unknown side lengths labeled with a variable in the given pair of similar triangles. B a= 9…

Q: f(x) = 3 sin(()x - ³/π) Move points A, B and C to create the correct graph of f(x). [Keep A…

A: This function is in the form of f(x)=asin(bx−c)This becomes zero when bx−c=0This becomes maximum…

Q: Solve for x: log(x) = 2 log(5) + 3 log(4):

Q: sin 4A = cos (A - 20°), where 4A is an acute angle, find the value of A. (A) 22° (B) 25° (C) 35° (D)…

Q: Using a double-angle or half-angle formula to simplify the given expressions. (a) If cos²(32°) –…

Q: Given the function f(x) = -3 sin[4(x - 90)] + 2, determine the following information: a) the…

Q: Let f(x) = -3 sin(10x) Move points A and B to create the correct graph of f(x). [If needed you can…

Q: what are the values for x, y and z?

Q: A cellular telephone tower that is 170 feet tall is placed on top of a mountain that is 1500 feet…

A: Using trigonometric ratio, we can find the angle of depression.

Q: Explain question 54 please

Q: Can you help me understand how to find the period and phase shift given the negative B term? I get…

Q: 2. If 0° < 0 < 90° and cos 0 = 3, find sin 20. O O O O 3√/55 64 √55 64 √55 32 3√/55 32

Q: Find the phase shift, period, and amplitude of the function. ( 1) 4 Give the exact values, not…

Q: Solve the following trigonometric equation graphically to two decimal places forest. 8-3 cos r =COS…

A: 8−3cos⁡x=cos⁡x−3 for −π≤x≤π

Q: glogg (3x) O 9x 81x 27x 3x

Q: Let 0= 688°. Find the reference angle of 0. The reference angle ' is

Q: Sin 21 2th = 3

Q: The terminal side of an angle 0 in standard position passes through the point (-5, -3). Use the…

A: To find- tanθ

Q: O COS 2TT စာ 1100 4TT co = 0.5, for 0≤x≤ 360, graphically. Convert your solution to exact radians.…

A: To solve the equation, , graphically.

Q: d) Solve for x 23 cosh(x) — 17 sinh(x) = 19. (Express your solution(s) in exact form.)

A: ** As per our guidelines, we are supposed to answer only one question at a time. Since you have…

Q: Use an algebraic approach to solve the equation sin(2x) =2. If n is an integer, the general solution…

A: Given equationSin(2x)=1/√2

Q: X 7 60 Billy's Response 7 sin 60 x (7) sin 60=-(7) ---(7) (7) sin 60 = x x = 6.1 Explain Billy's…

Q: a. Find the trigonometric b. Find the trigonometric c. Find the trigonometric d. Find the…

Q: A car travels 87 miles north and then 114 miles west. What is the direction of the car's resultant…

Q: How to use product to sum formulas to rewrite the product Sin 60 Sin 40

A: Givensin60.sin40

Q: Question Find the length of the third side. If necessary, write in simplest radical form. 10 2√41…

A: we are given the length of one leg which is 10 units and the length of the hypotenuse which is equal…

Q: The bearing from A to C is S 53° E. The bearing from A to B is N 81° E. The bearing from B to C is S…

Question

16. Eliminate 0 from the following equations :
i) x = a.Csco
and
y = b.Seco
ii) x = SinO + Cosand y = Sino - Coso
iii) x = Sin + tan and
y = Sino-tan
iv) x = tane
and
a
4 4
(ans: i), + =1; ii)x++y=2; iii-
=1; iv)y=
(x+y)(x-y)
y = tan 20
2
2x
2
2
х
1-X

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

SEE SOLUTION Check out a sample Q&A here

Step 1: Properties of trigonometry

VIEW

Step 2: Solving and eliminating

VIEW

Step 3: Solving the given equation

VIEW

Solution

VIEW

Step by step

Solved in 4 steps with 4 images

SEE SOLUTION Check out a sample Q&A here

Similar questions

Evaluate the indefinite integral by using the given substitution to reduce the integral to standard form. 12csc (6x)cot (6x)dx, a. u= cot (6x), b. u= csc (6x) a. Using u= cot (6x), 12csc 2(6x)cot (6x)dx = - cot2(6x) + C b. Using u= csc (6x), 12csc2(6x)cot (6x)dx =O
A particular solution of y" + y = sinx + xcosx -(x²sinx – 2xcosx) 4 a. b. (x?sinx – xcosx) 4 (x?sinx + xcosx) C. (x?sinx - 2xcosx) d. 글 2x3sinx-xcosx) е.
Find Sinczx), COSCZX), and tan(zx) from the information Cos Cx) = 07(めつら) %3D(x2)U:S %3D(x2)Unt
H.W التغذية الراجعة :- \- Find the aolution of the following equations: (ox<) a) CoSメ- Cask= 0. b) tan2x =3 ban X C S2 cOsX = Sinex- ) 2sinメ= Cos x.(4sin2nー) e) 反 os4X+ sinyxメ= \ ¥) sinx+coSX = 1
5)find y y= Iubdecx +tanx)
b) y"+y=0.
Soru 4. (5 puan) • Solve y – 2ry = (e-* sin r)y². Answer: 4x i) y = - cos ret + Ce-2")-1 ii) y = (e-* cos r +Ce¬z*)-1 COS I iii) y = cos 4.r + Ce-2)-1 iv) y = (e2" + r cos I – 1 + C)-1 I COS v) None of above. Mark the correct answer in the ois, whichever of the (i), (ii), (i), (iv), and (v) options is correct.
Calculus Question
(s,t)=(-3,1) X= 5?;24? y= 6st a) 4sx Sinly)+ 6+x?coscy> at (-3,1) b.) 8tx Sincy) + 6sx? Coscy> at C-3,1)
Let S[cosh(x) f(x) + sinh(x) f'(x)] dx = 5, where f(b) = v5. Then sinh(b) = %3D A) 5. B) V5. C) 7. D) V7. E) None of the above.
The third derivative of y = sin is 1 -sin b) y* =-co 1 a) у 8. 2 2 c) y" =-8sin d) y" = -8cos
16. Eliminate 0 from the following equations : and y = b.Sec0 ii) x= Sin0+ Cos0 and y= Sin0- Cos0 i) x= a.Csc0 iii) x= Sin0+ tan0 and y = Sin0- tan0 iv) x= tan0 and y = tan 20 4 2x =1; iv)y= 1-x a 4 (ans i),+ =1; ii)x +y =2; ii) (x+y) (x-y) 2. x y