cosec tetha =√1+m/n^4
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ANSWER
m
2
n=(cosecθ−sinθ)
2
(secθ−cosθ)=(
sinθ
1−sin
2
θ
)
2
(
cosθ
1−cos
2
θ
)=
sin
2
θcosθ
cos
4
θsin
2
θ
⇒(m
2
n)=cos
3
θ
⇒(m
2
n)
2/3
=cos
2
θ
Similarly mn
2
=(cosecθ−sinθ)(secθ−cosθ)
2
=
cos
2
θsinθ
sin
4
θcos
2
θ
=sin
3
θ
⇒(m
2
n)
2/3
+(mn
2
)
2/3
=sin
2
θ+cos
2
θ=1.
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