Question

prove that tan theta+cot theta=sec theta-cosec theta​

Answer 1

Answer:

In R. H. S

cot A+tan A

we can write this as cos A ÷ sin A +sin A ÷ cosA

so,

cosA²+sinA²÷sinA*×cosA

cos A²+sinA²=1

1÷sinA×cosA

now,

1÷sinA×1÷cosA

cosecA × secA

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Answer 2

LHS=tan theta + cot theta

proof:

sin theta/cos theta + cos theta / sin theta

sin^2 + cos^2 / cos theta × sin theta

1/ cos ×sin

1/cos 1/ sin

= sec theta cosec theta