Question

Verify that cot ²60Φ+sin ²45+sin ²+30 +cos ²90=13√12

Answer 1

cot 60= 1/root 3

sin 45= 1/root 2

sin 30=1/2

cos 90= 0 according to the trigonometric values of specific angles.

now for your answer

cot square 60 + sin square 45 + sin square 30 + cos square 90=13/12

(1/root 3)^2 + (1/ root 2)^2 + (1/2)^2 + 0

1/3 + 1/2 +1/4

LCM = 12

4/12+6/12+3/12=13/12.

Hence proven

Answer 2

Answer:

Step-by-step explanation:

cot 60 = 1/roo3

sin 45 = 1/root2

sin 30 = 1/2

cos 90 = 0

1/root3 x 1/root3  +  1/root2 x 1/root2  + 1/2 x 1/2 + 0 x 0

1/3 + 1/2 + 1/4 + 0

taking lcm 6

2 + 3/6  + 1/4 + 0

5/6 + 1/4

taking lcm 12

10 + 3/12

13/12

hence verified