Mathematics
19.05.2022 18:19
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Simplify the expression. quantity cosecant of y plus cotangent of y times quantity

Simplify the expression.

quantity cosecant of y plus cotangent of y times quantity cosecant of y minus cotangent of y divided by cosecant of y.
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HUNIXX6561
HUNIXX6561
4,6(55 marks)

siny is the answer.

Step-by-step explanation:

The given expression is \frac{\text{(cosec y + cot y)(cosec y - cot y)}}{\text{cosec y}}

We have to simplify this expression.

\frac{\text{(cosec y + cot y)(cosec y - cot y)}}{\text{cosec y}} = \frac{cosec^{2}y-cot^{2}y}{cosecy}  [Since (a-b) (a+b) = a²-b²]

Now we know (1 + cot² y) = cosec² y [identity]

The expression will become

\frac{(1+cot^2y)-cot^2y}{cosec y}

= \frac{1}{cosec y}

= Siny

Bashirar19
Bashirar19
4,5(40 marks)

prop a

Step-by-step explanation:

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