if sin@ + cosec@ =√3 prove that Sin^2@+cosec^2@=1​

Question

if sin@ + cosec@ =√3 prove that Sin^2@+cosec^2@=1​

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Eden 1 month 2021-09-17T09:05:41+00:00 1 Answer 0 views 0

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    2021-09-17T09:07:11+00:00

    Answer:

    Step-by-step explanation:

    sin A+cosec A= √3

    Square both sides

    Use the formula (a+b)^2

    We get

    sin ^2 A+2sinAcosecA+cosec ^2 A=3

    Sin ^ 2 A+2sinA*1/sinA+cosec ^ 2 A=3

    Sin ^ 2 A+ cosec ^2 A=3-2

    So,

    Sin ^ 2 A+cosec ^2 A=1

    Proved!!

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