Question

Simplify : 9 Sin A +3 cosec A + 10sin A- 13 CosecA
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Answer 1

19Sin A - (10/sin A)

Explanation:

We want to simplify;

9Sin A + 3cosec A + 10sin A - 13Cosec A

Let's rearrange it for ease of addition;

(9Sin A + 10sin A) + (3cosec A - 13Cosec A)

>> 19Sin A - 10cosec A

Now, from trigonometric ratios, we know that; Cosec A = 1/Sin A

Thus; 10cosec A = 10/sin A

Thus, we now have;

19Sin A - (10/sin A)