Math, asked by kvishal67095, 9 months ago

4. Solve the following (3) *
3 tan 0 + cot 0 = 5 cosec
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Answers

Answered by aayushighosh14
0

I hope u understand the solution....

3 tan theta + cot theta = 5 cosec theta

3 tan theta + (1/tan theta) = 5 cosec theta

Multiply both sides by tan theta:

3 tan^2 theta + 1 = 5 cosec theta * tan theta

3 tan^2 theta + 1 = 5 (1/sin theta) * (sin theta/cos theta)

3 (sec^2 theta - 1) + 1 = 5 (1/cos theta)

3 (sec^2 theta - 1) + 1 = 5 sec theta

3 sec^2 theta - 5 sec theta - 2 = 0

sec theta - 2 = 0

sec theta = 0 + 2

sec theta = 2

so, theta = 60°

I hope u had understood

I had done step by step explanation....

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