Question

sin^2 30 +cos^2 45 +4tan^2 30 + 1/2 sin^2 90 +1/8 cot^2 60

Answer 1

sin ²30 + cos²45 + 4tan² 30 +½ sin²90 + ⅛ cot²60

= (½)² + (1/root2)² + 4×(1/root3)² + ½×1² +⅛×(1/root3)²

= ¼ + ½ + 4/3 + ½ +⅛×⅓

= 1 + ¼ +4/3+1/24

=5/4 + 4/3 + 1/24

=(30 +32 +1)/24

=63/24

= 21/8 ___ans__

Hope this is ur required answer.

Answer 2

HELLO DEAR,

sin²(30) + cos²(45) + 4tan²(30) + 1/2sin²(90) + 1/8cot²(60)

=> (1/2)² + (1/√2)² +4×(1/√3)² + 1/2×(1)² +1/8×(1/√3)²

=> 1/4 + 1/2 +4/3 +1/2 + 1/8×1/3

=> 1/4 +4/3 +1/2 +1/2 +1/24

=> (3+16)/12 +(1+1)/2 +1/24

=> 19/12 + 1 + 1/24

=> (456+12)/288 + 1

=> 468/288 + 1

=> 39/24 + 1

=> (39+24)/24

=> 63 /24

=> 21/8


I HOPE ITS HELP YOU DEAR,
THANKS