Question

5 cos A = 3, find

cosec A- cotA
-------------------------
cosec A + cotA

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Answer 1

Answer:

5.cos A = 3. => cos A = 3/5……………(1)

Now, (cosec A - cot A)/(cosec A+ cot A) = (1/sinA -cos A/sin A)/(1/sinA+cos A/sinA).

= {(1-cos A)/sin A}/{(1+cos A)/sin A}.

= (1- cos A)/(1+cos A). , putting cos A= 3/5. from eqn. (1).

=( 1–3/5)/(1+3/5).

= (2/5)/(8/5)

= (2/5)×(5/8)

= 1/4. or, 0.25. Answer.