What is tan(x)+cos^2(x)+sin^2(x)-3 ?

The solution to tan(x)+cos^2(x)+sin^2(x)-3 is tan(x)-2

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simplify tan(x)+cos^2(x)+sin^2(x)-3

simplify

tan (x) + cos^{2} (x) + sin^{2} (x) - 3

tan (x) - 2

Solution steps

tan (x) + cos^{2} (x) + sin^{2} (x) - 3

Use the Pythagorean identity:

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

= tan (x) + 1 - 3

Subtract the numbers:

1 - 3 = - 2

= tan (x) - 2

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

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What is tan(x)+cos^2(x)+sin^2(x)-3 ?
The solution to tan(x)+cos^2(x)+sin^2(x)-3 is tan(x)-2