contestada

If 8×cot theta=7 then evaluate
(1+cos theta)(1–cos theta)
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(1+sin theta)(1–sin theta)

Respuesta :

Answer:

64/49

Step-by-step explanation:

8 cot θ = 7

cot θ = 7/8

tan θ = 8/7

[ (1 + cos θ) (1 – cos θ) ] / [ (1 + sin θ) (1 – sin θ) ]

Distribute:

(1 – cos² θ) / (1 – sin² θ)

Use Pythagorean identity:

sin² θ / cos² θ

Divide:

tan² θ

Substitute:

(8/7)²

64/49

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