2. Extend the identity cos(ax)-cos?x-sin'x for xE PR to the identity cas (a2)- Cos s 2-sinz for & € ¢ by using the Identity Prindple.

Q: ·S Evaluate cos x sin³ x dx. + C

A: To evaluate the following integral.

Q: 5. Simplify. tanx (cscx - sin x)

A: The given expression is tanxcscx-sinx. We have to simplify the given expression. Here we use the…

Q: 5

A:

Q: How does sin(2x + (pi/2)) equal cos(2x) ?

A:

Q: Sin (Cos8X) Find dy

A: Given,           y=sincos8x

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: 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: if g- Sin (cos 8x) Find y NP

A:

Q: Express cos 2 sin cos(2 sin-1(+)) in terms of x.

A: The objective of the question is to express the given trigonometric expression, cos(2 *…

Q: *cosx= 24 sinxyo, cos (x+5") 25

A: Given: cosα=2425, sinα>0 To determine: cosα+5π6

Q: If 8 cos(x) = sin(x), find all values of tan(x), cot(x), sec(x), and csc(x).

A:

Q: Making this substitution using [₁ gives us 10 sin²(x) cos³(x) dx 10 10 sin²(x) (1 - sin²(x)) cos(x)…

A: To evaluate the following integral. ∫10 sin2x cos3x dx Note: After seeing the previous solution, we…

Q: Write the expression cos (2 sin'x) as an algebraic expression in x, where (-1< x <1). Select one:…

A:

Q: if sinx=1/8 and x is in quadrent 1, then cos(180-x)=???

A: Simplify cos(180-x),

Q: 2 2- Find if y = dx sin2x sinx

A:

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.