Question

Evaluate tan 26°. tan 64​

Answer 1

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

Evaluate :-

$tan26° \times tan64°$

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

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

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

$\color{blue}{Given, }$

$tan26° \times tan64°$

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

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

$❥ \: tan \: (90 -θ ) = cotθ$

$\color{blue}{Here, \: θ = \:64°}$

$\color{blue}{and}$

$❥ \: cotθ \times tanθ = 1$

$\color{blue}{So,}$

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

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

$☞ \: tan \: (90 -θ ) = cotθ$

$☞ \: cotθ \: \times \: tanθ = 1$

Answer 2

Answer:

Requiredanswer

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

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

Given,

\begin{gathered}tan26° \times tan64° \\ \end{gathered}tan26°×tan64°

\begin{gathered}tan26° \:c an \: also \: \: written \: as:- \\ ⟹ tan(90 - 64)°\end{gathered}tan26°canalsowrittenas:−⟹tan(90−64)°

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

\begin{gathered} ❥ \: tan \: (90 -θ ) = cotθ \\ \end{gathered}❥tan(90−θ)=cotθ

\color{blue}{Here, \: θ = \:64°}Here,θ=64°

\color{blue}{and}and

❥ \: cotθ \times tanθ = 1❥cotθ×tanθ=1

\color{blue}{So,}So,

\begin{gathered}tan(90 - 64)° \times tan(64)° \\ ⟹ cot64° \times tan64° \\ ⟹ 1\end{gathered}tan(90−64)°×tan(64)°⟹cot64°×tan64°⟹1

\huge\color{purple}{\underline{\underline {Formula \: used:-}}}Formulaused:−

\begin{gathered}☞ \: tan \: (90 -θ ) = cotθ \\ \end{gathered}☞tan(90−θ)=cotθ

☞ \: cotθ \: \times \: tanθ = 1☞cotθ×tanθ=1