1. Given sinx 12 and cos y : 13 both x and y lie in sxs, determine a) cos(x+y) b) sin 2y

Q: Which of the following is equivalent to | cos(4a)sin (4x) da ? cos udu · 1 sin udu, where u = 4x…

A: The answer is found in step-2.

Q: Let sin A = 3 5 with A in QII and sin B = −  8 17 with B in QIII. Find sin(A + B), cos(A + B), and…

A:

Q: Let sin A = 12 13 with A in QII and sin B = −  8 17 with B in QIII. Find sin(A + B), cos(A + B),…

A: Given:

Q: 1) State whether the following functions are odd, even or neither: a) t³ sin(wt) b) t cos(2t) c)…

A: Since you have posted a question with multiple sub parts, we will provide the solution only to the…

Q: Which of the following equations does not hold for all values of x and y? cos(r + y) = cos(x) cos(y)…

A:

Q: If cos u = - 2/3 and π/2 < u < π, find: cos (2u) tan (u/2)

A:

Q: 6. Prove that: ah cos (i) A sin (ar + b) = 2 sin (ah sin a (ii) A cos (ar + b) = - 2 sin

A:

Q: Ex2: Use the identities 4 and 5 to prove that: cos(x- y)-cos(x+y) (a) sin x sin y = 2

A: Formula used -  cos(A-B) = cosA cosB + sinA sinB  cos (A+B) = cosA cosB - sinA sinB

Q: State the sum and difference formulas for the cosine. cos (x + y) = cos (x) cos (y) - sin (y) sin(x)…

A:

Q: Let F= (2e", 5 sin(x), 8 cos(x)). Calculate div(F) and curl(F). (Use symbolic notation and fractions…

A:

Q: Find the domain and range of the following: 1. y 3 cos (x) 3. y = -4 sin (x + ) + 4 5. y = sin (3x +…

A: As per our guidelines, we are supposed to solve only first three subparts. Kindly repost other…

Q: Verify the identity sin t - cos 2t = (2 sin t - 1)(sin t + 1).

A: sin t - cos 2t=(2sin t-1)(sin t +1)Formulascos 2t= 1-2sin2t

Q: y = cosx sinx

A: Given query is to the derivative of the expression.

Q: Find cos x + sin 2x dx 19. sin x

A:

Q: d²y Let y = sin (ax + b) ldentify the value of from the following: dx? -a² cos (ax + b) -a² sin (ax…

A: Given y=sin(ax+b)......(1)

Q: FIX) = sin(x+ cos x) -0.5=0 Find F(X), F(x)

A:

Q: Verify that sin u − u cos u + C =∫u sin u du. Use FIRST part to show that      ∫π0 sin√x dx = 2π.

A: Our aim is to verify that ∫u sinu du=sin u-cos u+C. Using this integral to find the value of…

Q: If sin = cos 0 0: = √/2 " determine the value of sin (20).

A: we given