cot theta + tan theta = cosec theta sec theta
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Answer:
cot theta + tan theta = cosec theta sec theta
Step-by-step explanation:
cot theta + tan theta =
cos theta / sin theta + sin theta / cos theta
= (cos theta cos theta + sin theta sin theta ) / cos theta sin theta
= 1 / sin theta cos theta
= cosec theta. sec theta
hence
proved
because
w.k.t
cos theta cos theta + sin theta sin theta = cos^2theta + sin^2theta = 1
&
cosec theta. = 1/ sin theta
sec theta = 1/ cos theta
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