Question

The value of :
${cos}^{2}26+\cos 64\sin 26+\frac{\tan 36}{\cot 54}$

• A. $2$
• B. $1$
• C. $0$
• D. None of these

Answer 1

The correct option is A $2$

${\cos }^{2}26°+\cos 64°\sin 26°+\frac{\tan 36°}{\cot 54°}$

$={\cos }^{2}26°+\cos (90°-26°)\sin 26°+\frac{\tan 36°}{\cot (90°-36°)}$

$={\cos }^{2}26°+\sin 26°\sin 26°+\frac{\tan 36°}{\tan 36°}$

$=({\cos }^{2}26°+{\sin }^{2}26°)+1$

$=1+1$

$=2$

Hence, the answer is $2.$