hello i need help with the following questions, if you can help i will rate your answer thanks!!

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1. Use the formulas for lowering powers to rewrite the expression in terms of the first power of cosine, as in Example 4. 9cos⁴(x)

2. Use the formulas for lowering powers to rewrite the expression in terms of the first power of cosine, as in Example 4. cos²(x) sin⁴(x)

3. Use an appropriate Half-Angle Formula to find the exact value of the expression. Cos 3pi/8

4. Find all solutions of the given equation. 2cos(?) +1= 0

5. Solve the given equation. AND LIST 6 SPECIFIC SOLUTIONS.(Enter your answers as a comma-separated list. Letkbe any integer.) cos(?) =?root3/2

6. Solve the given equation. List six specific solutions.(Enter your answers as a comma-separated list. Letkbe any integer.) cos(?) =

7. Solve the given equation. List six specific solutions. (Enter your answers as a comma-separated list. Letkbe any integer.) sin(?) =root2/2

8.

Tutorial Exercise Use an appropriate Half-Angle Formula to find the exact value of the expression. sin Sit Step 1 5 TC You know the values for the sine and cosine of the standard angles. The angle - is half of 570 4 4 What is the reference angle for this angle? rad Step 2 Then, you will use the Half-Angle Formula, sin(x) = z ( 1 - cos (0) 2 X and the fact that cos 57t V2 2 Submit Skip (you cannot come back).Step 1 Since cos(x) = and 180