Match each trigonometric function with its derivative. Enter the correct letter in the box beside the derivative. dy A.y = sec (a) -csc (x) cot (x) da dy B.y = cos(x) C.y = csc (x) D.y = cot (x) E.y=tan(x) F. y = sin(x) da dy da dy da dy da dy dx = sec² (x ) = sec (x) tan (2) sin (2) csc² (x) = cos(x)

Q: sec² 0 de tan² 0 – 1

A: Integrate the integral.

Q: 3. Evaluate (1+ sin x) dx.

A:

Q: Differentiate.  g(t) = t cosect t - cot t

A: To differentiate:      g(t) = t cosect t - cot t We know that --> (cosec x)' = -(cosec x)(cot x)…

Q: cosyx X,

A:

Q: b. y = sin³ x

A:

Q: с. Graph and find the domain and range for y=sin'(x) – 3

A: Given function is  y = sin^2(x) - 3

Q: 1. Find of the trigonometric function: dx y=−10x + 3 cosx

A: Derivative of Cosx is -Sinx

Q: Graph the function y=-cos (x) on [0,pi]

A: Giveny = -cos x

Q: H-W X.(5) Evaluate I = sinux dx.

A: To find the integral,  I=∫sin34xdx

Q: Find the value of

A: To find the value of ddxtanxx=π3.

Q: Definition used- Integration by part - x* sinx dx

A: "Since you have asked multiple questions, we will solve the first question for you.  If you want…