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Leona [35]
3 years ago
8

Simply (cotθ-cscθ)^2

Mathematics
1 answer:
DIA [1.3K]3 years ago
7 0

Answer:

[(cosθ-1)^2]/(sinθ)^2

Step-by-step explanation:

(cotθ-cscθ)^2

(cotθ)^2-<em>2cscθcotθ</em>+<u>(cscθ)^2</u>

(cosθ/sinθ)^2-2<em>(cosθ/(sinθ)^2) +</em><u>1/(sinθ)^2</u>

All have same denominator, (sinθ)2, add/subtract

((cosθ)^2-2cosθ+1)/(sinθ)^2

Factor the top

[(cosθ-1)^2]/(sinθ)^2

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