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

Q: 2: Prove that a) cosx tan3x = sinx tan’x b) (sin x + cos x)² = 1 + sin 2x

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Q: tan3x)dx tan Evaluate: cos23x A - In|sec (tan3x)|+C - In|cos (tan3x)| +C B © In cos(tan3x)| +C in…

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Q: Find sin 2x, cos 2x, and tan 2x if sin x - and x terminates in quadrant II- sin 2x %3D cos 2x %3D…

A: Use the fact that in second quadrant cos and tan are negative.

Q: Find the value of x  sin2x=sin600cos300-cos600sin300

A: Given,           sin2x=sin60°cos30°-cos60°sin30°

Q: 6. cos x(csc x secx) secx) cotx

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Q: Verify the identity: (cos 3x - cos 5x)/(sin 3x + sin 5x) = tan x.

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Q: cos(4x) – cos(8x) tan(2x) tan(6x) cos(4x)+ cos(8x)

A: We have to proof

Q: 2 (tan²x + 1)√sin2x.dx= (tan², 0

A: Find your answer below

Q: 2-sec2x: COS2X = COS X

A: Given query is to verify the identity

Q: EX-15- Prove that : a) Sec-'x= Cos- ! b) Sin-' (-x)=-Sin-'x

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Q: Find sin 2x, cos 2x, and tan 2x if tanx=- 1 and x terminates in quadrant II. sin 2x %3D cos 2x %3D…

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Q: * Prove: sin x = cos COS 2- 2cos x

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Q: Verify the identity. cos x = sin x sin 2x + cos x cos 2x

A: we have to verify the identity

Q: Prove using the IVT. tan-1x = cos-1x has a solution.

A: Given :                      tan-1 x = cos-1 xSolve :                     tan-1 x = cos-1 x…

Q: 4. y = tan¬1(3x) cos 1 4x 5. y =

A: To determine the derivative of given functions. Here we will use the following formulas-…

Q: Suppose cos x = - , where n < x < * . Find the exact value of cos(x – 4) . COS

A: cos(A-B)=cos A cos B+ sin A sin B

Q: Find tan 0 if sin 0= 1/4 and 0 terminates in Q1

A: Given, θ terminates in Q1 So, tan θ i s positive

Q: 2 cos(5x) – 5 x² – 2 lim sin(3x) – x² – 3x - - (Write your answer in the given box)

A: We will use L'Hopital rule

Q: 2- tan²x + 1 + tanx secx = 1+sinx cos²x

A: To show that , tan2x+1+tanx.secx=1+sinxcos2x

Q: cos(4x) cos(2x) sin(4x) sec(2x) 12. Verify: - sin(2x)

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

Q: Solve 4 tan x * cos^2 x = 1 for 0 ^ 0

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Q: 2. * 1 Add File 3. * 1 y = tan x + =tan³x 3 4. * y = = cos x 1 Add File y 1 cos³x 3 1 cosx

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Q: Evaluate (tan x cos x) dx А. cos x + C cos x + C - С. - sin x + C D. sin x + C B.

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

A: Given: tanx=-16,   cosx&gt;0 sin2x can be calculated as, sin2x=2tanx1+tan2x          =2×-161+-162…

Q: find solution set of tan-1x-cot-1x=cos-1(2-x)

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Q: Verify. esc (x) [I-cos(2x)] = 2 sin (x) SC

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Q: Compute sin(sin-(2/3)) O 2/3 This quantity does not exist.

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Q: Suppose: sin(x) = -0.1 cos(y) = 0.5 tan(z) = -4.3 Then, sin(-r) =| 0.1 cos(-y) = 0.5 tan(-2) = 4.3…

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Q: Find x where 0 ≤ x ≤ 2π. 4 cot²x = cos²x + sin²x - 1

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Q: 9. Prove. cos x sin x 1 - csc x %3D sec x

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Q: y cos?£ 1-CUSE tanzz

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Q: Sz sin2m-10 cos2n-10 —— В (т, п) 2

A: It is known that, βm,n=∫01xm-11-xn-1dx

Q: (i) Prove that sec 3x(sin 3x-2sin' 3x)= tan 3xcos 6x. (ii) Hence find, for 0s.xs, the values of x in…

A: Trigonometric equation

Q: ind sin2x, cos 2x, and tan 2.x if tanx = -2 and x terminates in guadrant II. %3D sin 2x ? cos 2x tan…

A: In second quadrant sin is positive and cos &amp; tan are negative.

Q: 1 what are possible values of cos x and tanx? 2 If sinx= Select one: V3 and tanx= 2 1 a. cosx= V3 V3…

A: Consider the right triangle with one angle x degree. Let a be the length of the adjacent side and b…

Q: 4) Verify. cos²(x)[1 C. – tan²(x)] = cos(2x)

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Q: cos^2x+sin^2x/cos^2x=

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Q: Why is V /5+ 5 tan² 0 = v5 sec² 0? Because Vtan 0 = sec 0 Because 1+ tan² 0 = sec² 0. • Because sec?…

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Q: 1- cos 4x sec2 2x – 1 = 1+ cos 4x

A: Question is solved.

Q: Cos (GX) = Cos 15°, 0°<x < 360° Со X) = Cos 15°, O° < x < 360° %3D Tan( x ) = tan,05x < 2n )= tan,

A: We can find the answers as below

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

A: Given, tan x = 2 x terminates in quadrant in I We have to find the value of sin2x, cos2x and tan2x

Q: Find cos(2x) Given that sinx= 4/5 and 0&lt;x≤ pi/2

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Q: Show that sin²(x) cos(x) = sec(x) – cos(x)

A: We need to show the following. So,         Manipulating right side=secx-cosx=1-cos2xcosx=sin2xcosx

Q: Find x where 0 ≤ x ≤ 2π. cos x - tan²x = 1

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Q: Evaluate: | tan(4x + 3)dx i -In |cos (4x+3)|+C A COS 4 В 4 - In |sin (4x + 3)|+C In |csc (4x+3)|+C D…

A: Given: ∫tan(4x+3)dx =∫sin(4x+3)cos(4x+3)dx Substitute :…

Q: do 6) I cos° 0 7 [(1- sin° 31)- cos3t dt 8) | tan (5x)· sec (5x) dx

A: Since you have posted multiple questions we solve first question for you  To get the solution of…

Q: Find sin (x/2) cos(x/2) tan(x/2)

A: Given information is :

Q: Show that:- tan-1 x + tan-1 y = tan-1 x+y 1-ху

A: We need to show the following identity tan-1x + tan-1y = tan-1x+y1-xy

Q: 2x,given  tanx=2 and cosx>0

A: