8. Apply the formula for cos (A-B) to the identity sin 0= cos E -0) to obtain the addition formula for sin(A + B).

Q: True or false: If cos A is negative, then cos (A/2) is negative as well.

A:

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

A:

Q: Is cos (A+b)=cos A + cos(b)? Explain

A:

Q: Find an alternative form in terms of x for each of cos(sin- 1 x) and tan(sin- 1 x).

A: Let us make a triangle with opposite = x and hypotenuse=1 , because sin theta= opposite/hypotenuse…

Q: Rewrite cos x + 3 in terms of sin(x) and cos(x). COS

A:

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: Let sinA=-4/5 with A in QIII and cosB=-3/5 with B in QII. Anwer Exactly. Find sin(A-B), cos(A-B),…

A: Given,

Q: the exact aue of the expression sin sin (a - B) = | (Simplify your answer. Type an exact answ

A:

Q: Rewrite the expression cos (0) without using any powers of sin or cos.

A: We have to rewrite the expression cos4( θ) without using the powers of sin or cos .

Q: Use an identity to solve the equation cos 2x = cos x on the interval [0, 2π).

A: Given:cos2x=cosx on the interval [0,2π)Formula:cos2x=cos2x-sin2xsin2x=1-cos2x

Q: Use an identity to solve the equation cos 2x = sin x on the interval [0, 2π).

A: Given:cos2x=sinx  on [0,2π)

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

A: To prove  sin (3π/2 - x) = -cos x

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.