Simplify and write the trigonometric expression in terms of sine and cosine: sect - cost sec t f(t) = = (f(t))² =

Q: Given that  sec(θ)=−5/4 and θ is in Quadrant III, find sin(θ) and tan(θ). Give exact answers in the…

A: and theta is in quadrant 3

Q: A student is working with the following equations loga 64=3 and log16 b=3/2, the value of loga b-…

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Q: Find the measure in degree(s) of the acute angle a with the following given trigonometric function…

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Q: Factor the trigonometric expression sin²T - 5 sinT - 14 = Blank 1 Blank 1 Add your answer

A: Let

Q: Evaluate the following expressions. 3 cos sin (1³) 2 tan (sin-¹()){

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Q: A Ferris wheel of diameter 18.5 m rotates at a rate of 0.2 rad/s. If passengers board the lowest car…

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Q: Factor the expresison and use fundamental identites to simplify 3 tan2 x - 3 tan2  x sin2 x

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Q: verify the given identity 53) 1 - tan2x = (cos2x)/(cos2x) 55) sin2x - tanx = tanx cos2x

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Q: Plot the point, given its polar coordinates. Give at least two other pairs of polar coordinates for…

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Q: use the half-angle identities to find the exact value of each trigonometric expression. 29) cos…

A: Rewrite    as an angle where the values of the six trigonometric functions are known divided by   .…

Q: A plane files 80.0 mi due north from its base airport. Then it makes a 70.0° turn northeast and…

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Q: verify the given identity 87) csc2x = 1/2 cscxsecx 89) cos(x)/(5) = 1 - 2sin2(x)/(10)

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Q: Rewrite the expression as a sum of difference, then simplify if possible. cos 8x cos 5x

A: Given,cos8x.cos5x

Q: use the power-reducing identities to write each trigonometric expression in terms of the first power…

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Q: find the area of the given triangle. Round each area to the same number of significant digits given…

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Q: Find a rectangular equation for the curve. π π x= 5 sect, y = 3 tant for t in(-22) Choose the…

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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: Use a sum-to-product identity to rewrite the expression. sin(pi/9) - sin(pi/2) = Blank 1 Blank 1 Add…

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Q: a) Determine S9 of the series where a = 6 and r = 2.  Provide a complete solution

A: Given that the first term and the common ratio of the geometric series is "as per the rules, we are…

Q: What is the period of the function y = 10 sin(( - )) + 25? Х 4π 3 3π 4 O 3 4 حرام

A: Given thatIf a wave function is given as then period will be

Q: find the exact value of each expression. do not use a calculator 9) cos(75 degrees) cos(15 degrees)…

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Q: Express the product as a sum containing only sines or cosines sin (8T) cos(7T) = Blank 1 Blank 1 Add…

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Q: Find a rectangular equation for the curve. x=2 sint, y = 5 cost for tin(-¹,¹) Choose the rectangular…

A: Find the rectangular equationX= 2sintY=5cost

Q: Evaluate the following expressions. The answer must be given as a fraction, no decimals. If the…

A: Given that cot(theta)=9/11Then Theta in 3rd quadrant and we know this fact that except tan and cot…

Q: verify the given identity 65) sin3x + cos3x = (sinx + cosx)(1 - (1)/(2)sin2x) 67) sin2(x)/(2) =…

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Q: The equation that corresponds with graph a is y = 3 sin (x - 90 ) + 1 How does the 3 effect the…

A: In the equationy = 3 sin(x - 90) + 1,the coefficient 3 affects the amplitude of the graph. The…

Q: (1) True or False? Explain your answer. If a triangle contains an obtuse angle, then it must be…

A: The solution is shown in step-2

Q: 1) Solve for x. a) b) X 100 m C 34° 145 m 32 mm 25 mm 43° B X E 26 m D X 25 m 61⁰ F

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Q: Solve for the unknown degree in triangle below 9.4cm 5 25 30 32 51 6cm

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Q: Find all square roots of 1+3i. Give answer in a+bi form

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Q: (i) (ii) Draw without using any electronic devices the graphs of y = 4 cos x and y=2-x on the same…

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Q: Find the exact value of the expressions cos(x +B), sin(x +ß) and tan(x +ß) under the following…

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Q: Find the value of each expression below (do not use a calculator). (a) sin ¹2 = radian(s). (b) cos…

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Q: Write the expression as a single trigonometric function. Hint: Use a "Sum or Difference Identity."…

A: Sin(4x) cos(7x) + cos(4x) sin(7x)=

Q: Simplify: sin(0) cos²(0) · tan(0) · cot (0) · sec(0) · csc(0) =

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Q: a) Find the local max, min and saddle points of f(x,y) =(y-2)x^2- y^2

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Q: Solve cos2x - 2 sinx-cos²x = -3 on the interval x = [0, 2x].

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Q: ewrite 2 cos² (4x) - 1 as a single trigonometric ratio. Osin (8x) cos(8x) O2 cos(4x) 2 sin(4x)

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Q: Sketch the graph of the following function. f(x) = 3 cos(x) 4+ 3 2 1 -1 -2 -3 -4 TT/2 ← 5 3π/2 2π

A: we can sketch the graph of  as follows:Start by drawing the x and y axes on your graph.Mark the…

Q: 10) Solve for x. Round final answers to two decimal places. 30⁰ 50° 25 mm 45 mm 42° 30

A: for a right angle triangle,

Q: Height of an outdoor basketball back board is 12.5ft, backboard cast a shadow of 16ft long  Right…

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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 +…

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Q: Use an addition or subtraction formula to find the exact value of tan 75° = √A +1 √B-1 A B = =

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Q: What is the mapping notation for y = -4 sin(x + 3) − 8? (a

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Q: Plot the point given polar coordinates (-7,- 150°). Give two other pairs of polar coordinates for…

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Q: if log¿ ï = 0. 4, then log, (ba X is:

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Q: Construct an appropriate triangle to complete the table sin= what degrees? (Rad)=Pi/3 what is the…

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Q: A parabola defined by the equation (y+3)^2 = 8(x-5). Give the vertex: Blank 1 focus: Blank 2 and…

A: A parabola is defined by To give vertex, focus and directrix.

Q: If sin = о O O O COS 0= cos -V √√3 2 = 9 what are the possible values of Cos 0 and tan ? -, tan0 =…

A: Since we know that cos(x) =√(1-sin^2(x)) tan(x) =sin(x) /cos(x)

Q: Suppose cos(a): 2 3 and sin(a) is positive.

A: cos⁡(α)=−23 and sin⁡(α) is positive.cos⁡(α)<0,sin⁡(α)>0⇒α∈(π2,π)