Question

2(cos⁴ 60° + sin⁴ 30°) - ( tan² 60°+
Cot² 45°) + 3 sec² 30° = 1/4​

Answer 1

Answer:

Step-by-step explanation:

LHS:

cos60=1/2

sin30=1/2

tan60=$\sqrt{3}$

cot45=1

sec30=2/$\sqrt{3}$

now substituting the values in the equation,

=2{(1/2)^4+(1/2)^4} - {($\sqrt{3}$)^2+(1)^2} + 3{(2/$\sqrt{3}$)^2}

=2{1/8} - 4 + 4

=1/4

which implies, LHS = RHS