If tan x = , Find the sin x and cos x in the interval xe (7, ? XE n,

Q: one of sin x, cos x, and tan x is given. Find the other two if x lies in the specified interval.

A: (a) tan x=2, x∈0, π2   ……1

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: If sin 0 3 with cos 0 < 0 , find: tan 0

A: The value of the trigonometric function is given by sinθ = 23 with cosθ&lt;0 To evaluate : the value…

Q: Find tan 6, given that sin 0 = and cos 0 < 0.

A: We have to find tanθ, given that sinθ=26 and cosθ&lt;0.

Q: find sin ). co ), aud tan for each gueton Sin X = 4 and x is ふ quadrant

A: We have to find  Sin(x/2) ,Cos(π/2), and tan(π/2); For sin(x) = 1/8 and x is in first quadrant.

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A: Given expression, tanθ+tanθ+π+tanθ+2π And tanθ=3

Q: Find sin x given that cos x = in Quadrant

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Q: Given that sin' (x) and cos (x), show that sin(a+B) = 1 %3D

A: Use the identities of inverse trigonometric function.

Q: Match the ratios for sin X, cos X and tan X.

A:

Q: Given the expression below, determine tan (0/2). sin 0 - x². 1+cos 0

A: We have to find the value of tanθ2 by the given expression sinθ1+cosθ=x2 first using the formula of…

Q: If sin a = , x in quadrant I sin(2r) cos(2æ) = tan(2x) :

A: By using basic trigonometric formulas, we can find all this as follows.

Q: Find the exact value of the expression whenever it is defined.

A: Part (a): Given, cotsin-1-25

Q: If sin x and T <x < , find tan x exactly. !! 1/4

A: We can use trigonometric identities to find the exact value of trigonometric function. We can use…

Q: Verify the identity by transforming the lefthand side into the right-hand side.

A: sinθ+cosθcosθ=1+tanθwe have to prove left hand side equals to right hand side so there are two…

Q: If csc(x) = 8, for 90° < z < 180°, then sin) Cos tan ||

A: we have been given cosec(x)=8 and x  lies in 2nd quadrant where cos is negative  therefore,  csc…

Q: The value of cos x is given. Find sin x and tan x if x lies in the specified interval. 24 COS X= xE…

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Q: Given sin x = and 0 <x <, find the exact value of cos 2x and tan 2x 13

A: Consider the given trigonometric equation sinx=513  ,  0&lt;x&lt;π2 First, find the value cosx…

Q: given that cos(X)=4/5. X lies in 1st quadrant. Find tan(X)

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Q: one of sin x, cos x, and tan x is given. Find the othertwo if x lies in the specified interval.

A: You know:

Q: If sin B = −1/3 with B in QIII, find tan (B/2).

A:

Q: For what values of a and b is sin bx tan 2r lim 0?

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Q: Rewrite sin ( x + ) in terms of sin z and cos r. Enclose arguments of functions in parentheses. For…

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Q: Find the exact value of the expression. tan n sin COS

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Q: Find sin 2x, cos 2x, and tan 2x if sin xD and x terminates in quadrant I.

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Q: tan(los +1(-)

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Q: Using an appropriate substitution, ſ tan³(x)sec"(x)dx is equal

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

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Q: Find the identical expression for the following. ​sin x(sec x- cot x) A. sec x  B. cotx-sinx c.…

A: The given expression is sin xsec x-cot x.

Q: What is the value of tan e If V3 cose – sin e = 2 ? -

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Q: Find sin(2x), cos(2x), and tan(2x) from the given information. tan(x) = 1 cos(x) > 0

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Q: Use the figure to derive the formulas for sin sin(). = $(€). [ COS tan TOIN cos e 6 (2). sin 0 cos…

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Q: Find the exact value of the expression whenever it is defined.

A: Given:a cotsin-123b sectan-1-35c csccos-1-14

Q: If csc(x) = 2, for 90° < a < 180°, then sin coo() - [ Cos tan (플)- 0 2 || |N

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Q: Given that sin' (x) and cos ( x), show that sin(a+B) = 1

A: Given that sin^-1 (x) and cos^-1(x) We have to prove that sin ( alpha + beta) = 1

Q: Let ƒ(x) = sin x. What is the value of ƒ′(p)?

A:

Q: .  If tan(t)≈2.7, tan(t)≈2.7, and sin(t)≈0.94, sin(t)≈0.94, find cos(t).

A: For right angle triangle containing base, altitude, hypotenuse and angle x. Tan x = altitude / base…

Q: Given tan x = sin x < 0; cos y = csc y < 0, find sin(x-y) 3/5

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Q: 5. cos? x (tan? x + 1

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Q: Find the exact value of the expression. sin(s: () - ian (3)) - tan-1

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Q: l side of θ lies along the lin

A: we have to find sin θ and cos θ if the terminal side of θ lies along the line y = 4x in QI

Q: Given that sin x 3 and 0° < x < 90°, what is the value of tan %3D

A: Given that sinx=35 and 0&lt;x&lt;90 We need to find the value of tanx2 Take sinx=35…

Q: If f (x) = ean() + sin?(e*), find f (x).

A: Given,          fx=etanx+sin2ex

Q: Evaluate the expression under the given conditions. tan(20); cos(0) = 0 in

A: Given  cos(θ)=35, θ in Quadrant I. We have to find the value of  tan(2θ).

Q: If sin y° =  9/c and tan y° = 9/d, what is the value of cos y°?

A: We know that, tan y°=sin y°/cos y°, So, cos y°=sin y°/tan y°.

Q: Find sin(2x), cos(2x), and tan(2x) from the given information. sin(x) = , x in Quadrant I 5' sin(2x)…

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Q: Suppose that tan t 12 and sin t 20. %3D a. What is the exact value of sin t? b. What is the exact…

A: Given : tant=-125 and  sint&lt;0 To find: (a) The exact value of sin t. (b) The exact value of cos…

Q: If sin A= , which of the following could be the value of tan A?

A: Given sin(A)=12   To Evaluate tan(A)=?

Q: What is the smallest number x such that tan e^= 0.

A: Given: The equation tanex=0 To find: The smallest number xsuch that the given equation is satisfied.

Q: Suppose v is in the interval with tan v = -5. Find the exact expression for the indicated quantity.…

A: tan(v-12π)=tan(-(12π-v))