What is tan^2(a)(2cos^2(a)+sin^2(a)-1) ?

The solution to tan^2(a)(2cos^2(a)+sin^2(a)-1) is sin^2(a)

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simplify tan^2(a)(2cos^2(a)+sin^2(a)-1)

simplify

tan^{2} (a) (2 cos^{2} (a) + sin^{2} (a) - 1)

sin^{2} (a)

Solution steps

tan^{2} (a) (2 cos^{2} (a) + sin^{2} (a) - 1)

Use the Pythagorean identity:

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

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

= tan^{2} (a) (2 cos^{2} (a) - cos^{2} (a))

cos^{2} (a) tan^{2} (a) = sin^{2} (a)

= sin^{2} (a)

Factor

2 cos^{2} (a) - cos^{2} (a) : cos^{2} (a)

= sin^{2} (a)

(1 + x)^{2}

(2 (n + 1))!

(x + 3) (x - 3)

cot (x) (sec (x) - tan (x))

\frac{x}{( x - 1 ) ^{2}}

What is tan^2(a)(2cos^2(a)+sin^2(a)-1) ?
The solution to tan^2(a)(2cos^2(a)+sin^2(a)-1) is sin^2(a)