If A = 30°, what is the value of: ([8sinA+11cosecA-cot²A])/10cos2A

If A = 30°, what is the value of…

If A = 30°, what is the value of: $\frac{[8sinA+11cosecA-cot^2A]}{10cos2A}$

Show answer & explanation

Correct answer: D

Explanation

The correct answer is option 4 i.e. 4 $\frac{3}{5}$

Calculations:

⇒ (8 sin30 + 11cosec30 - cot²30)/(10cos(2 × 30))

⇒ (8 × (1/2) + 11 × 2 - (√3)²)/(10 × (1/2))

⇒ (4 + 22 - 3)/5

⇒ 23/5 = 4 $\frac{3}{5}$ .