What is expand cos^2(A)(1+2tan(A))+sin^2(A) ?

The solution to expand cos^2(A)(1+2tan(A))+sin^2(A) is 2cos^2(A)tan(A)+1

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expand cos^2(A)(1+2tan(A))+sin^2(A)

expand

cos^{2} (A) (1 + 2 tan (A)) + sin^{2} (A)

2 cos^{2} (A) tan (A) + 1

Solution steps

cos^{2} (A) (1 + 2 tan (A)) + sin^{2} (A)

Expand

cos^{2} (A) (1 + 2 tan (A)) : cos^{2} (A) + 2 cos^{2} (A) tan (A)

= cos^{2} (A) + 2 cos^{2} (A) tan (A) + sin^{2} (A)

Use the Pythagorean identity:

cos^{2} (x) + sin^{2} (x) = 1

= 2 cos^{2} (A) tan (A) + 1

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What is expand cos^2(A)(1+2tan(A))+sin^2(A) ?
The solution to expand cos^2(A)(1+2tan(A))+sin^2(A) is 2cos^2(A)tan(A)+1