if cosec theta = 5/4 show that 5sin theta- 3 tan theta = 0??
its urgent plz.. solve it.
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5
Answer:
cosec theta = 5/4
sin theta =4/5
sin^2 theta + cos^2 theta =1
16/25 + cos^2 theta = 1
cos^2 theta = 1 -(16/25)
=9/25
so cos theta = 3/5
therefore, tan theta = sin theta / cos theta
= 4/5 ÷ 3/5
tan theta= 4/3
so
5sin theta - 3 tan theta is
=5×4/5 - 3×4/3
= 4 - 4
=0
hence proved.
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