the ratio of sine and cosine of an angle A is 8:15. find their actual values.
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Answer. sina/cosA=8/15 tanA=8/15 We know that 1+tan^2A=sec^2A Putting value of tanA 1+(8/15)^2=sec^2A sec^2A=1+64/225 Hence SecA=17/15 That means cosa=15/17 sinA=(1-cos^2A)^1/2 Therfore sinA=(1-225/289)^1/2 sinA=8/17 Hope you understood.
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