10. Find the exact value of each expression, if it is defined. (a) tan1 (b) сos (c) tan (tan 37) (d) cos(tan"(-V3))

Q: 20 What is the frequency of the periodic function f(0) =2 tan()? O 2 5 sin(-), What is the frequency…

A: Given f(θ) = 2 tan(2θ/3) Frequency of tan θ is 1 For f(θ) period is  π/(2/3) = 3π/2 Frequency is…

Q: 14. Find the smallest positive root of tan x+2 tanh x = 0.

A: Newton Raphson Method:- The root is xi+1 =xi - fxif'xi; i=0, 1, 2, ....   Given equation is tanx +2…

Q: 4. If cos(x) = -, and x lies in the 3rd quadrant, find tan(). -2 2.

A: Given query is to find the value of indicated function.

Q: Find sin e and cos e if the terminal side of 0 lies along the line y = 3x in QI. sin e - cos 8

A: Given: The equation of the line is, y=3x. The objective is to find the value of sinθ and cosθ.

Q: 10. Find the exact value of cos 2x given that cos x =

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Q: find the extreme values on the interval g(θ) = sin2 θ − cos θ, [0, 2π]

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Q: 2. If tan x = Find the sin x and cos x in the interval xe [n. : XE T,

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Q: 3. If cos x =- Find the sin x and tan x in the interval 13 XE

A: Given:        cosx=-513  we know that                      cosx=adjacenthypotenuse…

Q: 11. Evaluate the exact value of each of the following trig e> a) tan-(-V3) b) sec (sin" (-))

A: Answer and explanation is given below

Q: Find sin 2x, cos 2x, and tan2x if tanx = and x terminates in guadrant II. sin 2x ? cos 2.x tan 2x…

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Q: Find sin(2x), cos(2x), and tan(2x) from the given informa 15 tan(x) x in Quadrant II 8 240 sin(2x) =…

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Q: Q5/ If tan 0 :- find without using table values of: sin 0, cos 0.

A: The given question is taken from trigonometry and calculus so we have to deal with both of the given…

Q: II. Find tan (A +B) and tan (A - B) if: 5. cos A = - and sin B =, both A and B in QII.

A: As per bartleby guidelines we only give first question answers.

Q: Suppose v is in the interval with tan v =-11. Find the exact expression for the indicated quantity.…

A: Given tan v = -11 And v belongs to (π/2, π)  That is v belongs to second quadrant.  To find cos(-v)

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

A: Given,           tan(x) =-16, cos(x) > 0

Q: If tan then 1– 2 1+ z2 COS X 8 |N

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Q: sin [ cos-1 (-글)

A: To find the exact value of given expression

Q: Q4: Prove that: cos?x – sin?x cos²x - 1- tan?x

A: We need to prove that cos2x-sin2xcos2x=1-tan2x We will use tanx =sin xcos x

Q: Complete the statements.

A: Given Our aim is to complete the sentence

Q: 3. If cos x = 5 Find the sin x and tan x in the interval 13 xe 1]? X€ ,π

A: Given that: cosx=-513and x∈π2, π

Q: 3 3. Find the value of cos(2x) given that sin x = -and x is in QII.

A:

Q: Find tan 5, given that tan x = 3 and t<x< 2 10 +1 O A. 10-1 OB. V10 - 1 Oc. V10 + 1 OD. 3. 3. 3.

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Q: 15 Suppose that tan a = TC <a<t. 2 and - Find the exact values of cos and tan 2 - JT Cos Undefined…

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Q: 12 Suppose that tan 0 =-· and 90°<0<180°. 5 Find the exact values of cos and tan 믐 cos Undefine 2…

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Q: 5л What is the exact value of sin(cos(n)) where n %D

A: The given trigonometric function sin-1cosn where n = 5π2 cosn=cos5π2=0     since cosπ2=0

Q: a) sin 4pi/3   b) cos 4pi/3 c) tan ( -9pi/4)

A:

Q: 12 Find sin 2x, cos 2x, and tan 2x if sin x=- and x terminates in quadrant IV. 13 sin 2x %3D cos 2x…

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Q: At what value(s) of x does cos x = -x?

A: Given,

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

A:

Q: (x/2)

A: Please refer to the image below

Q: 16. Find the exact value of: π a) sin¹(tan(- =)) 3 √₂ 2 b) sin(cos-1(-

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Q: 14. An expression that is equivalent to sin 2x is 1- cos 2r tan r

A:

Q: 12. sin 2t – tan t = tant cos 2t - HINT: You will use a reciprocal identity.

A: use the formula

Q: Complete the statements.

A: a). As x→-1+, sin-1x→-π2

Q: Derive a formula for ſ tan x sec "x dx where n 40

A: Integration problem....

Q: If cos x= √7/4 and 3 π/2 (less than) x (less than) 2 π, find tan x/2

A: If cos x= √7/4 and 3π/2 &lt; x 2π, find tan x/2

Q: 5. If x = 3tan 0, find sin e in terms of x.

A:

Q: b. use tand=-1 d. cusd- e. f. sin--

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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: Given information: tanx=12    x∈π, 3π2

Q: Find the value of: (1) sın (sin): (i) tan- (tan *(tan): (iii) cos (tan12 + tan"12)

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Q: *7/2 Evaluate sin" x cos x dx for n > 0.

A: ∫0π2sinnxcosxdx Substitute t=sinx Differentiate the above equation dtdx=cosxdt=cosxdx Upper limit at…

Q: 6. Use the Intermediate Value Theorem to show that the following equation has at least TWO distinct…

A: Intermediate Value Theorem states that ''If a continuous function has values of opposite sign inside…

Q: If tan θ= √2/5 and π (less than) θ (less than) 3 π/2, find the exact value of cos 2 θ

A: Given tanθ=25   If π&lt;θ&lt;3π2 then  cos2θ=?

Q: Find sin 2x, cos 2x, and tan 2x if tanx=-. and x terminates in guadrant IV 3

A: sin 2x= 2 sin x cos x cos 2x=1-2sin2x tan 2x=(sin 2x)/(cos 2x)

Q: 12. Find the exact simplified function value of tan (2a). 4 where TTSAL 3T 2. Given sin a= -

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Q: Find sin(2x), cos(2x), and tan(2x) from the given information. tan(x) = - cos(x) > 0 3 sin(2x) =D…

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Q: 5.3 Evaluate (sin (x)cos“(x)dx

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