What is ((sin(x))/(cos(x)))^2 ?

The solution to ((sin(x))/(cos(x)))^2 is tan^2(x)

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simplify ((sin(x))/(cos(x)))^2

simplify

(\frac{sin ( x )}{cos ( x )})^{2}

tan^{2} (x)

Solution steps

(\frac{sin ( x )}{cos ( x )})^{2}

Apply exponent rule:

(\frac{a}{b})^{c} = \frac{a ^{c}}{b ^{c}}

= \frac{sin ^{2} ( x )}{cos ^{2} ( x )}

Rewrite using trig identities

= tan^{2} (x)

(x + 2 x)^{2}

\frac{1}{2} + \frac{1}{2}

\frac{csc ( θ )}{sec ( θ )}

\frac{1}{2} (10)

\frac{1}{2} x^{5}

What is ((sin(x))/(cos(x)))^2 ?
The solution to ((sin(x))/(cos(x)))^2 is tan^2(x)