Question

find the value of (5 sin square 30° + 4 csec square 60° - cot square 45° ) / ( sin square 60°+ cos square 60° )
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Answer 1

Step-by-step explanation:

(5 sin²30° + 4 cosec²60° - cot²45°) / (sin²60° + cos²60°)

5 × (1/2)² + 4 × (2/√3)² - (1)² / (√3/2)² + (1/2)²

[5 × 1/4] + [4 × 4/3] - [1] / [3/4] + [1/4]

(5/4) + (16/3) - (1) / (3/4) + (1/4)

after taking the lcm, we get,

[15+64-12/12] / [ 3+1/4]

(67/12) / (4/4)

(67/12) / (1)

67/12

hope this help u