Question

sin2 45 + 3/4cosec2 30 -cos60+tan2 60/sin2 30+cos2 60+1/2sec2 45​

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__