Question

If 3sinA=2 , find the value of (cotA-1)
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Answer 1

√5 /2- 1 or 0.1180 to the nearest 10,000th.

Explanation:

3 sin A = 2

sin A = 2/3

The adjacent ( to < A) leg of the right triangle = √(3^2 - 2^2) = √5.

So cot A = adjacent / opposite = √5 / 2

and cot A - 1 = √5/2 - 1.