Evaluate tan 26°. tan 64
Answers
Evaluate :-
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