Question

IF (tan +sin ) = m and (tan-sin ) =n prove that(mpower2-npwer2)=16mn​

Answer 1

Step-by-step explanation:

(tanθ+sinθ)=m and (tanθ−sinθ)=n

To prove : (m2−n2)2=165mn

L.H.S=(m2−n2)2

=[(tanθ+sinθ)2−(tanθ−sinθ)2]2

=(4tanθsinθ)2

=16tan2θsin2θ....(1)

R.H.S=16mn

=16(tanθ+sinθ)(tanθ−sinθ)

=16(tan2θ−sin2θ)

=16[sin2θ(cos2θ1−1)]

=16[sin2θ(sec2θ−1)]

=16tan2θsin2θ....(2)

From (1) and (2)

L.H.S=R.H.S

Hope this help you

Answer 2

Answer:

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