Given that tanθ=−1/3, and cosθ>0, find sin⁡2θ, cos⁡2θ, and tan2θ

Q: Given that sin(a) = 2/5 and cos(b) = − 1/3, with a and b both in the interval {pi/2,pi),find the…

A: Explanation of the answer is as follows

Q: Find sin(a) and cos(B), tan(a) and cot(B), and sec(a) and csc(B)

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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: Which of the following is equal to sin x P

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Q: Given that cos(x)=−1/2, what is cos(−x)?

A: Topic :- Trigonometry Answer cos(-x)= -1/2

Q: Use the given conditions to find the exact value of the expression. 24 COs a = 25 sin a < 0, cos a…

A: The given trigonometric expression is cosα+5π6. The conditions given are cosα=2425 and sinα&lt;0.…

Q: Create a table of values of sin(1/x) for the following values of x: 2/pi, 2/3pi,2/5pi, 2/7pi, 2/9pi,…

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Q: Find the exact value of the given expression. cos(2 tan"())

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Q: Given that sin(a)= -3/5 and tan(a)>0, determine the following: a.) cos(a) b.) tan (a) c.) sec(a)

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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: If cos A= 21/3 and A is between 90° and 180°, find   cos A/2

A: Given cos A = 21/3    A is between 90° and 180°.   We know cos θ ∈ [-1, 1]

Q: In the figure below, if sin x = 13 what is cos x and tan x?

A: sin x=513

Q: Given that sin(a)= 3/4 and cos(b)= -1/3, with a and b both in the interval [pi/2,pi) find the exact…

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Q: Find the exact value of the following expression. sin [2 cos (-1)] sin [2 cos (-1)] =O

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Q: From the formula of sin (A + B), deduce the formulae of cos(A+ B) and cos (A- B).

A: To derive formula cos(A+B) &amp; cos(A-B) using formula of sin(A+B)

Q: Given the following: sin a = and < a <n and cos ß = - and n< <B < a

A: Given: sinα=13, cosβ=-13; π2&lt;α&lt;π, π&lt;β&lt;3π2 we know that cosA+B=cosAcosB-sinAsinB…

Q: To evaluate / tan³ x cos² x dx, we may substitute u = cos x. Select one: a. False b. True c. None of…

A: Given:∫tan3x cos2x dxTrigonometry identities:sin2θ=1-cos2θtanθ=sinθcosθIntegration…

Q: Suppose 0 is in the interval (180°, 270°). Find the sign of the following. sin 2 If e is in the…

A: Given, sin(theta/2) Given interval, (180°,270°)

Q: Find sin(a) and cos(B), tan(a) and cot(B), and sec(a) and csc(B). 3 (a) sin(a) and cos(ß) (b) tan(a)…

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Q: Given that cos(x)=0.61, what is cos(−x)?

A: We will solve the problem

Q: Which of the following is equivalent to 4 cos? x + 8 sin? x +4 tan? x sin? x? O 4 tan? x -4 4 sec2 x…

A: Given 4cos2x+8sin2x+4tan2xsin2xThis can be written as 4cos2x+4sin2x+4sin2x+4tan2xsin2xWe know that…

Q: 3 – 5 (cos (a) + cos²(ß)

A: Given: 3-5cos2α+cos2β

Q: Find the exact value of tan15°. 4 2+ /3

A: Exact value of:                            tan(15°)=?   We use the trigonometry formulas to find the…

Q: Given x = 60°, tan š can be rewritten as which of the following? 1- cos 60 1- 2 sin? 60 1- cos60 tan…

A: We can find the answer as below.

Q: If ß is such that sin 230, the of the following two values?

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Q: Find sin(a) and cos(ß), tan(a) and cot(B), and sec(a) and csc(B). 4 7

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Q: For all values of α for which the expression is defined, tan(2α)/cos^2(α)= ?

A: let  f(α)=tan2αcos2α

Q: Find sin(a) and cos(B), tan(a) and cot(B), and sec(a) and csc(B). 20 35 B (a) sin(a) and cos(ß) (b)…

A: Given, Using Pythagoras theorem,

Q: Find the exact value of the following expressions: 50 b. sin 8. a. tan 8. C. cos 15° -

A: Here only cos15° having exact value other part a and b value depends upon theta. So i am solving…

Q: please answer all the parts

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Q: find the sin 2x,cos 2x, and tan 2x of the following cos x = 4/5, csc x < 0

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Q: If cos A= 21/3 and A is between 90° and 180°, find   sin A/2

A: Given : If cos A= 21/3 and A is between 90° and 180°,    Since, 90° &lt; A &lt; 180°…

Q: In the figure below, if sin x = 3, what is cos x and tan x? O cos x = and tan x = r%3D O cos x = and…

A: Given that sinx = 5/13 We have to find the vaule of cos x and tan x.

Q: Find the exact expressions for sin θ​, cos θ​, and tan θ.

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Q: Use an addition or subtraction formula to find the exact value of tan75∘

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Q: Let sin θ = −5/13, and cos θ = −12/13, and find the indicated value.   tan θ =

A: Given Sin θ = -513  and Cos θ = -1213We find tan θ .

Q: () given that sin x .2, Eくxくπ Find cos and 13

A: Given: sinx=513  and   π2&lt;x&lt;πcosx2=?

Q: If P = A sin 0 + B cos 0 and Q = A cos 0- B sin 0, find the value of A2 + B² in terms of P and Q. А.…

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Q: to 6.

A: Given: To determine: Value of tanB

Q: Which of the following represents the ratio for cos 0 ?

A: Given: (3,-23)

Q: Evaluate the following expressions. Enter exact answers using fractions. 12 sin cos 13 :)) -D -1 tan…

A: Given, sincos-1-1213 tansin-1-45 We have the evaluate the expression and write the exact values.

Q: Given tan A = -% and cos A < 0, determine sin A. O 4/5 O 3/5 O -3/5 O -4/5

A: Let's find.

Q: Which of the following is equivalent to: tan (0) cos(8)

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Q: Show that sin (A + B) is not, in general, equal to sin A + sin B by substituting 30 degree forA and…

A: To prove: sin (A + B) is not, in general, equal to sin A + sin B Given information: The value of A…

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: Given that cos(20)=24/25 and 3x/2 < 20 < 2n, find the exact value of tan(@).

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

A: We have to find the exact value of the expression: cos2tan-1125 We know that cos2θ=1-tan2θ1+tan2θ…

Q: If sin A = 3/5 with A in QI and cos B = - 5/13 with B in QIII, find sin (A + B), cos (A + B), and…

A: sinA=35  &amp;  cosB=-513 Now by using the identity sin2A+cos2A=1, we get…

Q: Use the following information to determine sin(2x). cos(x) 2 and tan(x) is positive Answer sin(2x) =

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Q: 8. Given that cos 0 = and 90° <0 < 180°, find each of the following. (e) tan

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