Find the exact values of cos theta, sin theta, and tan theta if theta is in standard position and P (-1,2) is on the terminal side.

Q: Find sin θ and cos θ if the terminal side of θ lies along the line y = 3x in QI

A: Given, The terminal side of θ lies along the line y = 3x in QI.

Q: Find the exact value of cos 195° + cos 105°

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Q: Determine sin(cos a) if a = 0°. Do not include the degree symbol in your answe

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Q: Find sin theta and cos theta if the terminal side of theta lies along the line y=2x

A: Given: Terminal side of theta lies along line y=2x.

Q: Find the exact value, not a decimal approximation, of cos^-1[cos(-5pi/3)]

A: Given that: cos-1cos-5π3

Q: Use the figure to find the exact values of sin 2x, cos 2x, and tan 2x. 4 8 а) sin 2x = b) cos 2x =…

A: From the given figure:   With respect to X.   Perpendicular=4Base=8   From the Paythagorous theorem:…

Q: Find sin π/4, cos π/4, and tan π/4.

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Q: Find the exact value of the expression. 2 tan cos 2

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Q: Find sin theta and tan theta if the terminal side of theta lies along the line y= 3x

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Q: As theta increases from 0 degree to 90 degree , the value of cos theta tends toward which of the…

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Q: Find the remaining trigonometric functions of theta if sin theta = 1/2 and terminates it

A: Given: sinθ=12 we know that sinθ is positive in first and second quadrant if, θ is in first quadrant…

Q: find sin θ and cos θ if the point (9.37, 7.03) is on the terminal side of θ

A: The point (9.37,7.03) is the terminal side of θ. The distance between the point and the radius is…

Q: Suppose that Ө is in standard position and   is on the terminal side. Find the exact value of a) r…

A: Given Ө is in standard position and   is on the terminal side.

Q: Find the exact value of cos π /12.

A: Given expression: cosπ12 We can write the above expression as cosπ12=cosπ4-π6

Q: Find the exact value of cos 0, given that sin 0 = -. 11 and 0 is in the third quadrant.

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Q: Use the figure to find the exact values of sin(2u), cos(2u), and tan(2u). X sin(2u) = cos(2u) =…

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Q: Find the exact value of (sin 14°)2 + (cos 14°)2 - 3

A: Given expression: sin 14∘2+cos 14∘2-3 The objective is to find the exact value of sin 14∘2+cos…

Q: Give the signs of the trigonometric functions. 17) cos (523°) and tan (523°) A) + and - B) - and +…

A: First try to see the degree as the multiple of 90 and then see for the quadrant. The step by step…

Q: Find the exact value of cot (cos^-1 (-4/7))

A: As we know that sinx=1-cos2x   and cotx=cosxsinx

Q: Evaluate the trig function by drawing the appropriate triangle.  1. tan(π/3) 2. cos(7π/6) 3.…

A: We know that  Tan (theta)=opposite side/adjacent side Cos (theta)=adjacent side/hypotenuse…

Q: Find the exact value of cos(155°)cos(35°) + sin(155°)sin(35°). O A. -2

A: cos155ocos350+sin1550sin350 =?

Q: Find the values in

A: Given:

Q: Find cos (2 θ) , if sin θ=15/17 and θ lies in quadrant I

A: sin² (x) + cos² (x) = 1 cos(2x) = cos² (x) - (1 - cos²(x)) = 2cos²(x) - 1

Q: Find the exact value of cos20 given sin0 =- and 0 < 0 < 13

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Q: Find sin(2a), cos(2a), and tan(2a).

A: Here we have,

Q: Find the exact value of cos(20)-

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Q: let sin theta = -12/13 and cos theta = -5/13 and find the indicated value of      sec theta

A: given that: sinθ=-1213 and cosθ=-513 we have to find the value of secθ.

Q: Show that cos (90 degree - A) = sin A.

A: The given identity is cos90∘ -A=sinA.

Q: Evaluate the sin2θ, cos2θ, and tan2θ, where cosθ = 5/13, with θ in Quadrant IV.

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Q: Find the exact value of cos-1(tan 3pi/4)

A: Answar is pie.

Q: . Find the exact values of sin (–3π), cos (–3π), and tan (–3π)

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Q: Use the facts that cos (π/6)=((√3)/2) and sin (π/6)=1/2 to find the exact value of tan ( π/12)

A: Given: -

Q: Find all the values of theta, if theta is in the interval (0,360 degrees) and has the given function…

A: We need to solve sinx=32. So,              sinx=32⇒x=π3+2πn, x=2π3+2πn

Q: Find the exact radian solutions of the equation in the interval 0,27). cos 20 = 5 cos 0 – 3

A: Explanation of the answer is as follows

Q: 15 COS 2 tan-1 8.

A: The given trigonometric function is cos2tan-1158. The following trigonometric identities are used in…

Q: Find sin 0 and cos 0 if the point 9.37, 7.06 is on the terminal side of 0?

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Q: and sin 0 = , find cos 20.

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Q: Find the remaining trigonometric ratios of theta based on the given information. sin theta = -1/2…

A: Given that, sinθ=-12

Q: Use the figure to find the exact values of sin(2u), cos(2u), and tan(2u). (4, -7) sin(2u) -0.87 |x…

A: Topic:- trigonometry ratios

Q: Find the exact value of expression.

A: we have to find the exact value of given expression                cos-122

Q: let sin theta = -12/13and cos theta = -5/13 and find the indicated value of  cosec theta

A: The given data is:sin θ =-1213 = Opposite…

Q: Let (−4−5) be a point on the terminal side of θ. Find the exact values of sinθ, secθ, and tanθ.

A: (x, y) = (-4, -5)

Q: Write cos 0 cot 0 in terms of sin 0 and cos 0

A: The given trigonometric expression is: cos θ cot θ   Solution is below:

Q: Find the exact value of cos" 7. tan

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

Q: Find sin θ and cos θ if the terminal side of θ lies along the line y = 2x in QI.

A:

Q: What is the first step in finding the exact value of cos 495 degree ?

A: We have to determine the value of term cos495°. Since, angle θ=495° is more than 360°, therefore the…

Q: State the exact value of cos π 6

A: We have to state the exact value of  cos π6.

Q: Use the given information sec α = -3, π/2 &lt; α &lt; π to find the exact value of the following: a.…

A: Given:             sec α = -3,            π/2 &lt; α &lt; π        cos α = =1sec…

Q: What is the value of cot theta if (- 4, 0) is on the terminal side of theta and theta is in standard…

A: Consider the value points (-4, 0) so, x=-4,  y=0r=x2+y2=-42+02=16r=4

Q: Find the exact value of cos 495 degree.

A: Evaluate cos495°