Trigonometry

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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

  • Trigonometry -

    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!

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