Question
Solution
17sin A = 8 Or, sin A = (8/17) Using sin2 A + cos2 A = 1 cos2 A = 1 - sin2 A Or, cos2 A = 1 - (8/17) 2 Or, cos2 A = 1 - (64/289) Or, cos A = (225/289) Or, cos A = (15/17) But 0 We know that sec A is reciprocal of cos A So, sec A = (17/15) Now, tan A = (sin A/cos A) = (8/17) ÷ (15/17) = (8/15) Therefore, required value = (17/15) + (8/15) = (25/15) = (5/3)
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