sin 2x 10. Simplify 1-cos x (a) 2cot x (1+ cos x) (b) sin 2x (1 + cos x) (c) sin 2x (d) – 2 tan x (1 + cos x) (e) none of these

Q: How do I simplify (9-sin(x))(4-3cos(x))-(9cos(x))(3sin(x))

A: Given that: (9-sinx)(4-3cosx)-(9cosx)(3sinx)

Q: sin 2x Verify 1+ cos 2x = tan x.

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Q: sin? x 1- 1-cos x =-COS X

A: Here we have to use the basic trigonometric identity sin2θ+cos2θ =1 and we know that  a2-b2=…

Q: (1) tanx=cot"I

A: Dear student as per our rule in one session we can only solve one question. Please post the other…

Q: e (a) S sin* x dx

A: Apply reduction formula:∫sinnx dx = n-1n∫sinn-2(x)dx - cosx. sinn-1(x)nwith n=4∫sin4x dx =…

Q: f(x) = (8 sin x + 3 cos x)tan1 -

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Q: sin (x) – cos²(x) Show that 1 F COS %3D CSC (x)

A:

Q: (b) S tan3 x sec² x dx c) S sin³x cos5 x dx

A: The explanation of the solution is :

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

A: (a) sin-1-22 -π2≤x≤π2 sin x=-22 multiply and divide by 12 sin x =12  sin x = π4 sin-1-22=π4

Q: Prove the following trigonometric identities. 1 cotx a) 6 cosx| 6 cosx = 6sin² x COSX CSCX

A: The details solution is given below

Q: If tan x = 3, cos x > 0, , then - sin 2x cos 2x tan 2x %3D

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Q: First, recall that sin²2 (0) = 1 - cos² (0). Thus, substitute (1 - cos²(0)) for sin²(0) in the given…

A: Now we know that sin^2(theta)=1-cos^2(theta)

Q: Wouldn't tan(x+pi)-(-sin(x)) yield tan(x+pi) + sin(x)) instead of tan(x+pi) - sin(x))?

A: Yes , there is a mistake on that question. I give u correct solution .  tan(x + π) - cos( x + (π/2))…

Q: -1 x + cos -1 Prove the identity sin' value of x that satisfies the equation 2. Use this identity to…

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Q: Use sin + cos2 = 1 to verify the following identity: (a) tan² (x) + 1 = sec²(x) (b) tan(x)sin(x)=…

A: Introduction: Anytime trigonometric functions are used in an expression or equation, trigonometric…

Q: (cos A + sin A)/(cos A - sin A) = (1+ sin(2A))/ cos(2A)

A:

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: Find an algebraic formula for cos (tan-1 u + sin¬1 v), then use that formula to 1 compute cos…

A: given function ,  costan-1 u + sin-1 v  ..........................eq.(1) now we have to find an…

Q: Prove that

A: Given:d2ndx2nsinx=-1n sinxd2ndx2ncosx=-1n cosx

Q: 1. cos x 1 - sin x = sec x + tan x

A: