Evaluate the given expression: cos²36° + cos 54°. sin 36° + ((tan26°)/(cot64°))

Evaluate the given expression: cos²36° + cos 54°. sin 36°…

Evaluate the given expression: cos²36° + cos 54°. sin 36° + $(\frac{tan26°}{cot64°})$

Show answer & explanation

Correct answer: D

Explanation

The correct answer is option 4 i.e. 2.

cos²36° + cos 54°. sin 36° + $(\frac{tan26°}{cot64°})$

= cos²36° + sin 36°. sin 36° + (tan 26°/tan 26°)

= cos²36° + sin²36° + 1

= 1 + 1

= 2

Therefore, the value of the given expression is 2.