Cos 30 + sin 60 ÷ 1 + sin 30 - cos 60 = cot 30
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Answered by
3
Proof:
We know that,
cos30° = √3 / 2
sin60° = √3 / 2
sin30° = 1/2
cos60° = 1/2
cot30° = √3
∴ L.H.S. = (cos30° + sin60°) ÷ (1 + sin30° - cos60°)
= (√3 / 2 + √3 / 2) ÷ (1 + 1/2 - 1/2)
= (2√3 / 2) ÷ 1
= √3
= cot30° = R.H.S.
Hence, proved.
Answered by
2
Answer:Proof:
We know that,
cos30° = √3 / 2
sin60° = √3 / 2
sin30° = 1/2
cos60° = 1/2
cot30° = √3
∴ L.H.S. = (cos30° + sin60°) ÷ (1 + sin30° - cos60°)
= (√3 / 2 + √3 / 2) ÷ (1 + 1/2 - 1/2)
= (2√3 / 2) ÷ 1
= √3
= cot30° = R.H.S.
Hence, proved.
Step-by-step explanation:
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