Question

Verify that sec^2 xsin^2 x = tan^2 x

Answer 1

Here's the solution,

• $\sec {}^{2} (x) \times \sin {}^{2} (x) = \tan {}^{2} (x)$

• $\dfrac{1}{ \cos {}^{2} (x) } \times \sin {}^{2} (x) = \tan {}^{2} (x)$

• $\dfrac{ \sin {}^{2} (x) }{ \cos {}^{2} (x) } = \tan {}^{2} (x)$

• $\tan {}^{2} (x) = \tan {}^{2} ( { {x}^{} }^{} )$