What is 1/(sin^2(x)+tan^2(x)+cos^2(x))+3cos^2(x) ?

The solution to 1/(sin^2(x)+tan^2(x)+cos^2(x))+3cos^2(x) is 4cos^2(x)

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simplify 1/(sin^2(x)+tan^2(x)+cos^2(x))+3cos^2(x)

simplify

\frac{1}{sin ^{2} ( x ) + tan ^{2} ( x ) + cos ^{2} ( x )} + 3 cos^{2} (x)

4 cos^{2} (x)

Solution steps

\frac{1}{sin ^{2} ( x ) + tan ^{2} ( x ) + cos ^{2} ( x )} + 3 cos^{2} (x)

Simplify

sin^{2} (x) + tan^{2} (x) + cos^{2} (x) : sec^{2} (x)

= \frac{1}{sec ^{2} ( x )} + 3 cos^{2} (x)

Simplify

\frac{1}{sec ^{2} ( x )} : cos^{2} (x)

= cos^{2} (x) + 3 cos^{2} (x)

Add similar elements:

cos^{2} (x) + 3 cos^{2} (x) = 4 cos^{2} (x)

= 4 cos^{2} (x)

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

4 \frac{π}{3}

0.6 5^{2}

6 \cdot \frac{2}{5}

(\frac{3}{4} + 5 i) - (\frac{2}{7} - \frac{5}{3} i)

What is 1/(sin^2(x)+tan^2(x)+cos^2(x))+3cos^2(x) ?
The solution to 1/(sin^2(x)+tan^2(x)+cos^2(x))+3cos^2(x) is 4cos^2(x)