Question

Evaluate tan 26°. tan 64​

Answer 1

Step-by-step explanation:

hope it will help you bro ☺️

Answer 2

$\mathtt{\bf{\large{\underline {\red{Given \: question}}}}}$

Evaluate :-

$tan26° \times tan64°$

$\mathtt{\bf{\large{\underline {\red{Required \: answer}}}}}$

$\huge \mathcal \color{maroon}{1}$

$\huge\color{orange}{\underline{\underline {Solution}}}$

$\color{blue}{Given, }$

$tan26° \times tan64°$

$tan26° \:c an \: also \: \: written \: as:- \\ ⟹ tan(90 - 64)°$

$\color{blue}{We\: know, }$

$❥ \: tan \: (90 -θ ) = cotθ$

$\color{blue}{Here, \: θ = \:64°}$

$\color{blue}{and}$

$❥ \: cotθ \times tanθ = 1$

$\color{blue}{So,}$

$tan(90 - 64)° \times tan(64)° \\ ⟹ cot64° \times tan64° \\ ⟹ 1$

$\huge\color{purple}{\underline{\underline {Formula \: used:-}}}$

$☞ \: tan \: (90 -θ ) = cotθ$

$☞ \: cotθ \: \times \: tanθ = 1$