→ cos∅ = 7/8
To Evaluate: (1 + sin∅)(1 - sin∅)/(1 + cos∅)(1 - cos∅)
→ (1² - sin²∅)/(1² - cos²∅)
→ (1 - sin²∅)/(1 - cos²∅)
We know that 1 - sin²∅ = cos²∅
→ cos²∅/(1 - cos²∅)
→ (7/8)²/{1 - (7/8)²}
→ (49/64)/(1 - 49/64)
→ (49/64)/(64 - 49)/64
→ 49/64 × 64/15
→ 49/15
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Solution
→ cos∅ = 7/8
To Evaluate: (1 + sin∅)(1 - sin∅)/(1 + cos∅)(1 - cos∅)
→ (1² - sin²∅)/(1² - cos²∅)
→ (1 - sin²∅)/(1 - cos²∅)
We know that 1 - sin²∅ = cos²∅
→ cos²∅/(1 - cos²∅)
→ (7/8)²/{1 - (7/8)²}
→ (49/64)/(1 - 49/64)
→ (49/64)/(64 - 49)/64
→ 49/64 × 64/15
→ 49/15
Required answer is 49/15