Question

Given cot tita=7/8 then evaluate (1+sin tita)(1-sin tita)/(1+cos tita)(1-cos tita)

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Answer 1

Answer:

49/64

Step-by-step explanation:

(1 + sinA)(1 - sinA) = 1² - sin²A

(1 + sinA)(1 - sinA) = 1 - sin²A = cos²A

(1 + cosA)(1 - cosA) = 1² - cos²A

(1 + cosA)(1 - cosA) = 1 - cos²A = sin²A

Therefore,

=> (1 + sinA)(1 - sinA) / (1 + cosA)(1 - cosA)

=> cos²A/sin²A

=> (cosA/sinA)²

=> (cotA)²

=> (7/8)² => 49/64

Answer 2

Answer:

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