Question
Asked Oct 25, 2019
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A) How does 1/2[(1-cosx)/(sinx)+(sinx)/(1-cosx)] equal on of these: secx, cosx, sinx, tanx, cotx, cosx, or 1

 

B) How does ±√((csc^2x-1)/(csc^2x)) equal on of these: secx, cosx, sinx, tanx, cotx, cosx, or 1

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Expert Answer

Step 1

Since you have submitted two questions, we'll answer the first question. For the second question please submit the question again and specify it.

We need LCD.

LCD=sinx*(1-cosx)

Multiply first fraction by (1-cosx) and second by sinx in mumerator and denominator.

Then simplify.

 

 

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1-cosx sinx 2 sinx 1-cosx (1-cosx) (1-cosx) sinx-sinx sinx(1-cosx) 2 sinx(1-cosx) sin2x 1-2cosx+ cos'x 1 sinx(1-cosx) 2 sinx(1-cosx)

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Step 2

Add the numerators [since denominators are same]

Ap...

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1-2cosx+ cos'x + sinx(1-cosx) sinx 2 2 sinx(1-cosx) 1-2cosx cos2x + sin?x 2 sinx(1-cosx) 1-2cosx+1 2 sinx(1-cosx) 2-2cosx 2 sinx(1-cosx)

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