Question

The value of (9 cot² 60°+ sec²45°-4 sin90°) / (3 tan²30°+ cosec² 45°- tan 45°)
Please solve only if are sure and know how to solve it​

Answer 1

Answer:

Step-by-step explanation:

(9 cot² 60°+ sec²45°-4 sin90°) / (3 tan²30°+ cosec² 45°- tan 45°)

Cot60 = = Cos60/Sin60 = (1/2)/(√3/2) = 1/√3

Sec45 = 1/Cos45 = 1 / (1/√2) = √2

Sin90 = 1

Cosec45 = 1/Sin45  = 1/ (1/√2) = √2.

Tan45 = 1

Tan30 = 1/√3.

Now substitute the values:

[9*(1/√3)² + (√2)² - 4*1] / [3 * (1/√3)² + (√2)² - 1]

=> [3 + 2 - 4] / [1 + 2 - 1]

=> 1/2.