By using the reciprocal identity the value [tex]Sin \theta[/tex] will be [tex]\dfrac{5}{27}{[/tex]
What is Reciprocal and Quotient Identities?
In trigonometry, quotient identities refer to trig identities that are divided by each other.
So here we have
[tex]Cosec\theta = \dfrac{27}{5}[/tex]
Now we have to find the reciprocal identity,
[tex]Sin\theta=\dfrac{1}{Cosec\theta}[/tex]
[tex]Sin\theta}=\dfrac{1}{\dfrac{27} { 5} }[/tex]
[tex]Sin\theta=\dfrac{5}{27}[/tex]
hence by using the reciprocal identity the value [tex]Sin \theta[/tex] will be [tex]\dfrac{5}{27}{[/tex]
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