Could someone please clarify these problems to me?

Question

24. Find the amplitude, period, and phase shift of the given function: y = 5 sin [3(x+ π 4 )]

25. Find the exact value of y, or state that y is undefined:

(a) y = cos⁻¹ (√ 3/2)

(b) y = csc⁻¹ √ 2

(c) y = cos⁻¹ (cos(− π/3))

(d) y = sin(tan⁻¹ 7x)

(e) y = cot(sin⁻¹ 5x/9)

(f) y = cot(sin⁻¹ c/d)

26. Simplify the algebraic expression by using the given trigonometric substitution. Assume 0 < θ < π/2: y = root of 5x/√ 49−x², x = 7 cosθ

Answer 1

For problem 24.

Amplitude = 5

Period = 2pi/3

Phase Shift is pi/4 to the left.

Answer 2

add 2pi(n) to the following answers where n= any integer

also some likely other angles in other quadrants

question 25

a +pi/6

b pi/4 or 3pi/4

c +pi/3

d 7x/sqr(49x^2 +1)

e sqr(81-25x^2)/9

f sqr(d^2-c^2)/d

26 5x/sqr(49 -x^2) x= 7cosT

= 35cosT/(49-49cos^2(T)

=(35/49)cosT/1-cos^2(T))

=(5/7)cosT/sin^2(T)

square root of above

=sinTsqr(5costT/7)