Question

Sec theta - tan theta. =4/3, then sin theta =

Answer 1

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Answer 2

Hii mate,

✔✔SOLUTION ......

sec theta - tan theta = 4/3... (i)

sec theta + tan theta = 3/5... (ii)

[ from - (sec^2 theta - tan^2 theta) = 1]

now, (i) - (ii)

sec theta = 25/24

or, cos theta = 24/25

or, cos^2 theta = (24/25)^2

or, 1-sin^2 theta = 576/625

or, sin^2 theta = 1-576/625

or, sin^2 theta = 49/625

or, sin theta = 7/25

.... (Ans.)

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