cosec40-cot80
=tan20+cosec80
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Answer:
tan100+cosec100 this is the answer for this question
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Explanation:
cosec40°- cot80°
= 1/sin40° - cos80°/sin80°
=2cos40°/2sin40°.cos40° - cos80°/sin80°
=2 cos 40/sin80° - cos80° /sin80°
= (2cos 40° - cos 80°)/ sin 80°
= (2 cos40° - 3 cos^240°-1)/sin80°
=2cos40°(1-2cos40°)/2sin40°.cos40° - cosec 80°
=2sin^2 20°/2sin20°.cos20° - cosec80°
= sin20°/cos20° -cosec80°
= tan20° - cosec80°
= R.H.S. (Proved)
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