3 years ago

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)^2-2cscθcotθ+(cscθ)^2

(cosθ/sinθ)^2-2(cosθ/(sinθ)^2) +1/(sinθ)^2

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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