What is ((3tan(x)-5))/(1-sin^2(x)) ?

The solution to ((3tan(x)-5))/(1-sin^2(x)) is (3tan(x)-5)/(cos^2(x))

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simplify ((3tan(x)-5))/(1-sin^2(x))

simplify

\frac{( 3 tan ( x ) - 5 )}{1 - sin ^{2} ( x )}

\frac{3 tan ( x ) - 5}{cos ^{2} ( x )}

Solution steps

\frac{3 tan ( x ) - 5}{1 - sin ^{2} ( x )}

Use the Pythagorean identity:

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

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

= \frac{3 tan ( x ) - 5}{cos ^{2} ( x )}

sin (x) + (\frac{1}{x})

2 (5 x^{2} - 7) - 3 (x^{2} - 4 x + 1)

f (x) arcsin (x^{2})

\frac{cos ^{2} ( a ) - a}{2 - 1}

3 a^{2} \cdot (5 a)^{- 2}

What is ((3tan(x)-5))/(1-sin^2(x)) ?
The solution to ((3tan(x)-5))/(1-sin^2(x)) is (3tan(x)-5)/(cos^2(x))