Question

Find the value of

$\frac{ \text{sin(25)}}{\text{cos(65)}} \times \frac{ \text{tan(23)}}{\text{cot(67)}}$


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Answer 1

$\textbf{SOLUTION}$

Sin 25 = cos(90 - 25)

= cos 65.

Tan 23 = cot(90 - 23)

= cot 67.

Given, sin 25/cos 65 × tan 23/cot67

= cos65/cos65 × cot67/cot67

= 1 × 1

= 1.

Answer 2

Hey Mate,...

Sin 25 = cos(90 - 25)            = cos 65.

Tan 23 = cot(90 - 23)            = cot 67

Given, sin 25/cos 65 + tan 23/cot67         

= cos65/cos65 + cot67/cot67         

= 1 ×1       

=1.

Hope it will help you

✨Sai.