Question

(cosec ² 45° sec^2 30°) (sin^2 30° + 4 cot² 45° - sec^2 60°)​

Answer 1

Answer:

6

Step-by-step explanation:

cosec ² 45°=($\sqrt{2$) ²=2

sec^2 30°=(2/√3)²=4/3

sin^2 30°=(1/2)²=1/4

4 cot² 45°=4 * (1)² =4

sec^2 60°=  (2/1) = 2

(cosec ² 45° sec^2 30°) (sin^2 30° + 4 cot² 45° - sec^2 60°)​

SUBSTITUTE  THE VALUES WITH THE EQUATION

= ( 2*4/3)(1/4+4-2)                             [FOLLOW B.O.D.A.M.S.]

= (8/3)(1/4+16/4-8/4)                          [TAKE L.C.M.]

=(8/3)(9/4)

=2*3

=6