Question

Verify the identities.
1.) √1-COSθ/1+COSθ= 1+SINθ/SINθ

2.) SEC X SIN(π/2-X)= 1

3.) CSC X(CSC X-SIN X)+SIN X-COS X/SIN
X + COT X= CSC²X

4.) CSC^4 X-2 CSC²X+1= COT^4 X

5.) CSC^4 θ-COT^4 θ= 2 CSC²θ-1

6.) TAN^5 X= TAN³X SEC²X-TAN³X

7.) COS³X SIN²X= (SIN²X-SIN^4X)COS X

Answer 1

2.) SEC X COS X= 1
1/COS X*COS X/1= 1
BINGO!
3.) CSC²X-CSC X SIN X+SIN X/SINX-TAN X+
COS X/SIN X
1/SIN²X-1/SIN X*SIN X/1-TAN X+COS X/
SIN X
1/SIN²X-1-SIN X/COS X+COS X/SIN X
1/SIN²X-1-TAN X*1/TAN X= CSC²X COOL!

Need help on #6 and 7 please. Thank you!