Prove that:
(cosec 0 - cot 6)2
1- cos e
1 + cos e
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Answer:
Step-by-step explanation:
By replacing values of cosec∅ and cot∅.
L.H.S → (1/sin∅ - cos∅/sin∅)²
→ [(1 - cos∅)/sin∅]²
→ (1 - cos∅)²/sin²∅
Since sin²∅ = 1 - cos²∅
→ (1 - cos∅)²/(1 - cos²∅)
By a² - b² identity we get (1 - cos∅)(1 + cos∅)
→ (1 - cos∅)(1 - cos∅)/(1 - cos∅)(1 + cos∅)
→ (1 - cos∅)/(1 + cos∅) = R.H.S
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