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The value of (1 + cosA ) (1- cosA ) cosecA

asked Jan 4, 2021 82.1k views

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Robert Broersma · Answer 1 · 2021-01-10T06:09:41+0000

Answer:

The Answer is SinA.

Step-by-step explanation:

(1 + cosA ) ( 1 + cosA ) cosecA

= (1)^2 - ( cosA )^2 × cosecA

= 1 - cos^2A × cosecA

= Sin^2 × cosecA

= ( 1 / cosecA )^2 × cosecA

= ( 1 / cosecA × cosecA ) × cosecA

= 1 / cosecA

= SinA

Thank you ☺️☺️

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1 Answer

The Answer is SinA.

(1 + cosA ) ( 1 + cosA ) cosecA

= (1)^2 - ( cosA )^2 × cosecA

= 1 - cos^2A × cosecA

= Sin^2 × cosecA

= ( 1 / cosecA )^2 × cosecA

= ( 1 / cosecA × cosecA ) × cosecA

= 1 / cosecA

= SinA

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