1. Evaluate the following integrals. (a) (sin 8) (cse³ # - csc² 0 - tan 0 sec 6) dº 78 (2³+3) 3-r √8x - x² (b) , (c) J dr dx

Q: Apply the trigonometric identities to establish the expression side. Show your work. 1-cos²0 cos sin…

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Q: determine the measure of the positive angle with measure less than 360° that is coterminal with the…

A: for positive coterminal angle we add the multiple of 360°given  a=-872°

Q: Determine whether the following statement is true or false. If z = re is a complex number and n is…

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Q: Find the angle ? between the given vectors to the nearest tenth of a degree. U = −3i + 5j, V = 8i +…

A: Given query is to find the angle between the vectors.

Q: Find the sine of ZS. R Q √√5 S √√√6

A: Given triangle is right angle triangle, Using Phythagorus theorem , In ∆SRQ(SQ)2=(SR)2+(RQ)2…

Q: Write the polar coordinates (10,7) as rectangular coordinates. Enter an exact answer (no decimals).

A: To write the polar coordinates 10, 7π6 as rectangular coordinates.

Q: Determine the ordered pair representing the maximum value of the graph of the equation below. r =…

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Q: 1.) Sin A + tan A = 2.) Sin A tan A = cot A + CSC A cot A 1 cot A Sec A 3.) Sec² A - cot A = tan² A…

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Q: Find a polar equation of the hyperbola ()² – ( 1⁄2)² = 1. p² = = Note: use t for 0.

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Q: Write the vector v in terms of i and j whose magnitude and direction angle are given. 5 |v=0=112⁰ V=…

A: Given is to find the vector.

Q: Find the measure of the smallest angle of AABC with a = = 15, b= 13, c 11.

A: Given query is to find the smallest angle.

Q: Write the polar equation r = 9 cos in Cartesian form as x² + y² =

A: The given polar equation r=9 cosθ. We have to convert into rectangular equation.

Q: find the measure (if possible) of the complement and the supplement of each angle.  how do I find…

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Q: 9. Simplify sec² x - 1 sec² x

A: secx=1cosxI=sec2x-1sec2xsin2x+cos2x=1

Q: The count in a bacteria culture was 300 after 10 minutes and 1600 after 35 minutes. Assuming the…

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Q: Simplify the trigonometric expression below by writing the simplified form in terms of sin c.…

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Q: 5. Simplify the expression (a) -1 (b) 1 (c) sin²x (d) - cos² (e) None of these cos²x+ sin x sec² x…

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Q: Solve the triangle. C≈ As В a=8, b=2, C=170° (Round to two decimal places as needed.) (Round to one…

A: by using cos law in trianglecos(C)=a2+b2-c22ab sin law is  sin(A)a=sin(B)b=sin(C)c

Q: Find - f(x) when f(x)=2x²-3x+2 OA 2x²+3x+2 OB-2x2+3x+2 OC -2x² + 3x - 2 OD 2x²+3x-2

A: given   f(x)=2x2-3x+2

Q: Find the exact value. If the value of the function is not defined write undi cos-/ COS

A: we know that   cos(3π+θ)=-cosθ

Q: Graph the polar equation below. Provide your answer below: 10 10 T= -7 cos (0) - 2 11m8 10

A: To graph the given polar curve first we find the values of r corresponding to some θ values and then…

Q: A hot-air balloon is floating above a straight road. To estimate their height above the ground, the…

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Q: Find all solutions of the equation in the internal 10. 2d C Esin 6+1)=0

A: (tanθ-3)(sinθ+1)=0tanθ=3 and sinθ=-1  in  0,2π

Q: An aircraft going from Atlanta to Savannah on a heading of 126° (from north) is travelling at a…

A: Given that , The speed of aircraft = 510 miles per hour (126° from north) Speed of wind = 24 miles…

Q: 1. Find the absolute value of the complex number z=2cis30

A: Since you have asked multiple question, we will solve the first question for you. If youwant any…

Q: The vector v has initial point P and terminal point Q. Write v in the form ai + bj; that is, find…

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Q: b) 125 15 150° B 100 B 30 110% X. A

A: Solve the following

Q: Part I: Construction on the Plane 1. Using a straightedge, construct AABC on a sheet of paper. 2.…

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Q: The letters r and 0 represent polar coordinates. Write the given equation using rectangular…

A: To write the given equation in rectangular coordinates.

Q: Use the graph of the function f given below to answer the questions 59

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Q: Given that sin(0) = 6 and is in Quadrant II, what is cos(20)? Give an exact answer in the form of a…

A: To find the value of cos(2θ)

Q: Solve the triangle. A=43°, b=5, c = 8 a= (Do not round until the final answer. Then round to the…

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Q: Where " 5 U 3π 3 < d < 2π 2 and <ß < 3/TT- π <

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Q: petal that gives the r value when the rose curve is furthest away from the pole. r = -12 sin (20)…

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Q: the trigonometric identities to establish each identity. Work only side of the equation and be sure…

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Q: Determine whether the information results in one triangle, two triangles, or no triangle at all. a =…

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Q: Sketching a Plane Curve and Eliminating the Parameter In Exercises 13-28, (a) sketch the curve…

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Q: Assuming A + B = 90° wherever B occurs, prove the following identities: 2 1.) Sin A + tan ² A = Sin…

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Q: 14 17 Give an exact answer in the form of a fraction. Given that sin(0) = and is in Quadrant II,…

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Q: Find zw and N3 Z W z = 5 cos Write each answer in polar form and in exponential form. 2π 9 + i sin T…

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Q: 1. Given that cos(a) = with 3 < a < 2, give an exact answer for the following: a. sin() = b. cos() =…

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Q: Find the exact value of the trigonometric expression when sin(u) = − 12/13 and cos(v) = −15/17 (Both…

A: We need to find out the exact value of the given function.

Q: olve the triangle. b=12, c= 7, A=40° (Round to two decimal places as needed.) (Round to one decimal…

A: Given query is to solve the triangle.

Q: 13. Find the amplitude, period, phase shift and sketch ONE period of: y = 2 sin(2x + π) Y I

A: The given function is y=2sin(2x+π) We have to find the amplitude, period, phase shift and sketch the…

Q: im sorry, could you write ikt out on paper? its confusing when typed out and i don't understand

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Q: Solve the given equation. (Enter your answers as a comma-separated list. Let k be any integer. Round…

A: The equation is  cosθ=32

Q: A b = 5.5 16° с с 123° a В

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Q: tan α = 1 4 x in quadrant II

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Q: → C mylab.pearson.com Use a half-angle identity to find the exact value. cos 195° cos 195° =…

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Q: Find the unknown sides (in km) of the right triangle. (See figure below. Round your answers to three…

A: The given triangle has measures a=296 km, B=57.7°. We have to find the values of b and c.