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Question 134
If $$7\sin\alpha=24 \cos\alpha;0<\alpha<\frac{\pi}{2},$$ then the value of $$14\tan\alpha-24\cot\alpha$$ is equal to
Solution
Given:
Sin x/cos x=tan x=24/7
Cos x/ sin x= cot x = 7/24
To find: 14tanx-24cot x
(14*24)/7 - (7*24)/24
48-7
41
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