Q3) Use the addition formulas to derive the identity of (cos (x --): sin x ) %3D

Q: (a) Evaluate| cos (4x) -dx. (1+ 2sin ( n(4x)*

A:

Q: Use the addition formulas to derive the identities in Exercise

A: There are six trigonometric ratios those are sine, cosine, tangent, cosecant, secant and cotangent.…

Q: Evaluate: 2x +tan 2x 1/3 COS ,2 1+x? 1-x2 dx. e* +1 -1/3

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Q: y = e2* sin 2x + e3* cos 2x

A:

Q: epresent 3 sin x + 6 cos x in a form A sin(x + p), use radians for p.

A:

Q: Find : sin (x)

A: We use Trigonometry ratios

Q: Verify the identity: sin x/(1 + cos x) = (1 - cos x)/sin x.

A: sinx1+cosx=sinx1+cosx×1-cosx1-cosx=sinx1-cosx1-cos2x     ∵a+ba-b=a2-b2=sinx1-cosxsin2x…

Q: Use the identities to find csc(x) and cos(x) if tan(x) =6 and cos(x)

A: Use the identities to find csc(x) and cos(x) if tan(x) =6 and cos(x)

Q: et - e- е limr0 2 sin x

A:

Q: Verify the identity sec-1 x = cos-1(1/x), for x ≠ 0.

A: According to the question, we have to verify the identity sec-1x=cos-11x. As the above function is…

Q: Prove: Sin(x-pi/2) = -cosx

A:

Q: Evaluate sin r e de. cos

A:

Q: Cos(10+x)

A: Here , We will apply the formula of Cos ( A+B) Cos(A+B) = [CosA CosB - SinA SinB ]

Q: find

A: Given,           y=2sin22x*3tan-12x

Q: simplify: csc(x)-cos(x)cot(x)

A: simplify: cscx-cosxcotx

Q: Sin 2X 2. X 3 tan 2X

A: Equating the first derivative of a function to zero and solving the equation for the variable will…