Question

Find the value of sin²60⁰+cos²90⁰​

Answer 1

4 cot² 45 - sec² 60 + sin² 60 + cos² 90

= 4 (1)2 - (2)2 + (√3/2)2 + 0

= 4 - 4 + 3/4

= 3/4

Answer 2

Answer:

${ \sin}^{2} {60}^{o} + { \cos }^{2} {90}^{o} = {( \frac{ \sqrt{3} }{2} )}^{2} + {0}^{2} = \frac{3}{4}$.

since sin 60 = √3/2 and cos 90 = 0