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Popular >

prove (cos^2(A))/(cos(A)-sin(A))+(sin(A))/(1-cot(A))=sin(A)+cos(A)

Solution

prove

\frac{cos ^{2} ( A )}{cos ( A ) - sin ( A )} + \frac{sin ( A )}{1 - cot ( A )} = sin (A) + cos (A)

Solution

True

Solution steps

\frac{cos ^{2} ( A )}{cos ( A ) - sin ( A )} + \frac{sin ( A )}{1 - cot ( A )} = sin (A) + cos (A)

Manipulating left side

\frac{cos ^{2} ( A )}{cos ( A ) - sin ( A )} + \frac{sin ( A )}{1 - cot ( A )}

Express with sin, cos

= cos (A) + sin (A)

= sin (A) + cos (A)

We showed that the two sides could take the same form

\Rightarrow True

Popular Examples

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cot^{2} (α) + 1 = \frac{1}{sin ^{2} ( α )}

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prove (cot(x)+tan(x))/(sec(x))=csc(x)prove

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Frequently Asked Questions (FAQ)

Is (cos^2(A))/(cos(A)-sin(A))+(sin(A))/(1-cot(A))=sin(A)+cos(A) ?
The answer to whether (cos^2(A))/(cos(A)-sin(A))+(sin(A))/(1-cot(A))=sin(A)+cos(A) is True