1.) Factor the algebraic expression below in terms of a single trigonometric function. cos x - sin ²x - 1

2.) Find all solutions to the equation. cos²x + 2 cos x + 1 = 0

3.) Write the expression as either the sine, cosine, or tangent of a single angle.

cos(pie/5)cos(pie/7) + sin(pie/5)sin(pie/7)

4.) Find the exact value by using a half-angle identity. cos(5pie/12)

5.) Verify each trigonometric equation by substituting identities to match the right hand side of the equation to the left hand side of the equation.

1. cot x sec⁴x = cot x + 2 tan x + tan³x
2. (sin x)(tan x cos x - cot x cos x) = 1 - 2 cos²x
3. 1 + sec²x sin²x = sec²x
4. += 2 csc x
5. - tan²x + sec²x = 1 if someone can help me with these unit homework problems it would be great:) thank you in advance!