Show that   sin3θ + sin3(θ+ 120°)+sin3(θ+ 240°)= -3/4sin(3θ).

Q: Sinxtsina3x COSX+ COS 32 tan 22

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Q: snip

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Q: [sin³ 4x cos 4xdx

A: We can find the answer as below.

Q: Show that sin-1 v + cos-1 v = π/2 .

A: Given: sin-1 v+cos-1 v=π2

Q: Verify the identity. cos3 x sin2 x = (sin2 x − sin4 x)cos x

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Q: Find exact vaule   Sin( tan-1 (7/3)) =

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Q: Find the value of x sin 6x +sin6/3x -1 -1

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Q: Express sin 5x cos 3x as a sum of trigonometric functions.

A: Given           sin 5x cos 3x

Q: Find the exact value of sin(π/3) sin(π/3)=

A: We can make it easier for you

Q: Express 2 sin 13° cos 48° v. as a sum

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Q: simplify sin 2x/1-cosx   Not sin^2x its sin2x

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Q: Verify the identity. sin 3x = 3 sinx – 4sin'x %3D

A: We have to verify the identity: sin 3x=3 sin x-4 sin3 x Taking LHS, we get LHS=sin 3x=sin 2x+x We…

Q: Prove this equation (cosx-sinx) ^2=1-2sinxcosx

A: Trigonometric formula

Q: Find the smallest positive angle x in degree 1) cosx = -1/2 2) sinx = -1/2 3) tanx = -√3 4) Cscx =…

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Q: Show that sin(sin-1 v + cos-1 v) = 1.

A: sinsin-1v+cos-1v=1

Q: Compute the exact value of sin() (7. 8

A: To find:sin7π8

Q: Find the exact value of sin sin 3. 元一3 |3|

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Q: Simplify. sin 2x · cos 3x – cos 2x · sin 3x

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Q: Find Lte " sin 41]. -2r

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Q: evaluate sin[cos-1(-1/2) - sin -1(1/2)]

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Q: / sin 3r cos 3xdx

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Q: If  2sin2 theta  - cos2 theta = 2  then find the value of theta

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Q: Find sin2x, cos2x, and tan2x if sinx = 15/17 and x terminates in quadrant I.

A: sinx = 15/17 and x terminates in quadrant I. Now using the identity

Q: Prove + cosß)* +(sina + sinß) = 4cos² a - B) %3D

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Q: (a) Find the greatest and smallest values of 3-5 sinx.

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

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Q: Show that sin³ +cos³0 sin + cos 2-sin 20 2

A: Here we use the formula of (a+b)^3 .

Q: Find the value of 2 sin2 30° tan 60° – 3 cos2 60° sec2 30°

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Q: Find sec2x if sin x = 6/10 and sec x < 0

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Q: sinr 1. Show that

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Q: what is sin^-1(cos^-1((1))

A: Letcos-1(1)=x⇒1=cosx⇒cosx=1we know that ,cos0=1⇒x=0⇒cos-1(1)=0sin-1(cos-1(1))=sin-1(0)let…

Q: Give the exact value of sin(-1).

A: We have to follow simple trigonometric rules to solve the problem

Q: Verify the identity: sin(α + β) sin(α - β) = cos2 β - cos2 α

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Q: sin3xdx Cos4x

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Q: Sin52x ×cos 42x=

A: Consider the equation

Q: Let 0 <0<. If sin 0 3 what is the value of sin 20?

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Q: sin 3x cos“ 3xdx

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Q: 2) Explain why sin(@) = cos(90 - 0). %3D

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Q: cos 2x cotx-1 1+sin 2x cotx+1 20

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Q: Evaluate V2 cos sin-! 2.

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Q: 2) Find the EXACT value of cos if tan(0) = 3 and sin(0) < 0

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Q: verify the identity sin2x-sin2y=cos2y-cos2x

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Q: 5. cos (sin 5.

A: We have to solve given expression.

Q: Prove Sine tan 2. 1+ cose

A: Using the double angle identities we get

Q: Express sin π 2 +0 +0 as a single trigonometric function in simplest form.

A: We know that sin(a+b)=sin(a)cos(b)+cos(a)sin(b)

Q: Verify the identity sin2 θ/2 = (sec θ - 1)/2 sec θ

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Q: Find sin 2x, cos 2x, and tan 2x if sinx and x terminates in quadrant IV. sin 2x cos 2x %3D tan 2x

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Fundamentals of Trigonometric Identities

Trigonometric Identities are the equalities that involve trigonometry functions and hold for all the values of variables given in the equation.