Question

if 5 cos theta -4 = 0,prove that tan theta /1+tan^2 theta = sin theta / sec theta

Answer 1

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Answer 2

cos tetha = -4/5

sin tetha = 3/5

by taking L.H.S .

tan tetha = sin tetha / cos tetha

1+ tan ^2 tetha = 1+ sin ^2 tetha / cos ^2 tetha

by solving it we get

sin tetha * cos tetha

by taking R.H.S.

sin tetha / sec tetha

sec tetha = 1/cos tetha

by solving we get ;

sin tetha * cos tetha

L.H.S = R.H.S.

Hence proved