What is (2+tan^2(x))/(sec^2(x))-1 ?

The solution to (2+tan^2(x))/(sec^2(x))-1 is cos^2(x)

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simplify (2+tan^2(x))/(sec^2(x))-1

simplify

\frac{2 + tan ^{2} ( x )}{sec ^{2} ( x )} - 1

cos^{2} (x)

Solution steps

\frac{2 + tan ^{2} ( x )}{sec ^{2} ( x )} - 1

Join

\frac{2 + tan ^{2} ( x )}{sec ^{2} ( x )} - 1 : \frac{1}{sec ^{2} ( x )}

= \frac{1}{sec ^{2} ( x )}

Use the basic trigonometric identity:

\frac{1}{sec ( x )} = cos (x)

= cos^{2} (x)

\frac{2}{5} \times \frac{3}{7}

a (a + b - (- c)) - b c

2 lo g_{2} (6)

(2 x^{2} + 2) + (x + 4)

\frac{1}{\frac{9}{2}}

What is (2+tan^2(x))/(sec^2(x))-1 ?
The solution to (2+tan^2(x))/(sec^2(x))-1 is cos^2(x)