Question

1/2 sin²45+2cos²45-sin²60 ÷ 1/2 cot ² 45

Answer 1

Solution:

We know that,

sin45° = 1/√2

cos45° = 1/√2

sin60° = √3 / 2

cot45° = 1

∴ 1/2 sin²45° + 2 cos²45° - sin²60° ÷ 1/2 cot²45°

= (1/2 * 1/2) + (2 * 1/2) - (3/4) ÷ (1/2 * 1)

= 1/4 + 1 - 3/4 ÷ 1/2

= 1/4 + 1 - (3/4 ÷ 1/2)

= 1/4 + 1 - 3/2

= (1 + 4 - 6)/4

= - 1/4 (Ans.)

Answer 2

Answer:

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