If the angle & (measured in radians) is such that 21 << ST 2 a) cos x < -√2 < sin x 2 b) √2 < cos

Q: ·S Evaluate cos x sin³ x dx. + C

A: To evaluate the following integral.

Q: solve these 2 equations on the interval  0 less than or = theta less than or = 2Pi   equation 1:…

A: Solve the equation 1 in given interval:

Q: Q-2- Find the function Values by_using double angle formula Coso Sine 2 sino Cose Cos 20 = Sin 20 1)…

A: By using double angle formula:-

Q: Verify the identity: (cos 4x - cos 2x)/(sin 2x - sin 4x) = tan 3x

A:

Q: Using Euler' formula, show that sin 2x = 2 sin x cosx

A: Euler's Formula used.

Q: (cscD+cotD)/(tanD+sinD)=cotDcscD

A:

Q: sin* x – cos* x = 1 x – cos? x

A:

Q: dy Find dif sin x + 2 cos 2y) = 1 dx

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Q: What is the real number equivalent for sin ( Cos ^ -1 ( 1/2)) ?

A:

Q: Consider the function y=sin0, where 0=u+v. Suppose that u = v. Show how the Sum and Difference…

A: We will see the ans in next step

Q: given that sin(x-A)=2cos(x+A) Show that tan x= 2tanA/1+2tanA

A: Formula used:

Q: Find all solutions of 2sin^2 θ=5sinθ+3

A:

Q: 7. Verify the following: (sec0 + csc®)(cos0 – sin0) = cot0 – tan0

A:

Q: Sketch the point (5,-12) on the terminal side of angle 0 in standard position. Use 0 to evaluate the…

A:

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

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Q: Let (-4,5) be a point on the terminal side of 0 sin0= sec0= tan0=

A:

Q: Use de Moivre’s theorem with n = 4 to prove that cos(4θ) = 8 cos^4 (θ) − 8 cos^2 (θ) + 1

A:

Q: Use the cofunction identities to select the correct answer which fills in the blank. cos(10x) = sin_…

A: We know that, sin(90°+x) = cos(x) sin(90°-x) = cos(x)

Q: Show that sin 2x Þ 2 sin x by substituting 30 degree for x and then simplifying both sides.

A: To prove: sin2x≠2sinx For x=30°

Q: (sinx/ 1-cosx)=cscx + cotx   verify the identity

A: