Dengan menggunakan identitas trigonometri nilai dari tan × sin× + cos ×

Dengan menggunakan identitas trigonometri nilai dari tan × sin× + cos ×

Jawaban:

tan x . sin x + cos x = sec x

identitas trigonometri :

$boxed{ begin{array} {c | c} sin( alpha ) = frac{1}{ csc( alpha ) } & csc( alpha ) = frac{1}{ sin( alpha ) } \ \ cos( alpha ) = frac{1}{ sec( alpha ) } & sec( alpha ) = frac{1}{ cos( alpha ) } \ \ tan( alpha ) = frac{1}{ cot( alpha ) } & cot( alpha ) = frac{1}{ tan( alpha ) } \ \ tan( alpha ) = frac{ sin( alpha ) }{ cos( alpha ) } & cot( alpha ) = frac{ cos( alpha ) }{ sin( alpha ) } end{array}}$

$boxed{ begin{array} {l} sin {}^{2} ( alpha ) + cos {}^{2} ( alpha ) = 1 \ \ tan {}^{2} ( alpha ) + 1 = sec {}^{2} ( alpha ) \ \ 1 + cot {}^{2} ( alpha ) = csc {}^{2} ( alpha ) end{array}}$