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Question
If 3 tan A - 5 cos B = `sqrt3` and B = 90°, find the value of A
Solution
Given that B = 90°
3 tan A – 5 cos B = `sqrt3`
3 tan A – 5 cos 90° = `sqrt3`
3 tan A – 0 = `sqrt3`
tan A = `(sqrt3)/(3)`
tan A = `(1)/(sqrt3)`
tan A = tan 30°
A = 30°
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