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If tantheta+sectheta=2.5, find sintheta,...

If `tantheta+sectheta=2.5`, find `sintheta,tantheta" and "sectheta`.

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Given, `sec theta+tantheta=3/2 (i)`
Now, `sectheta-tan theta=1/(sectheta+tantheta)=2/3 (ii)`
Adding Eqs. (i) and (ii), we get `2sectheta=3/2+2/3=13/6`
`:. Sectheta=13/12`
`:. Tantheta=5/12`
and `sin theta=5/13`
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CENGAGE PUBLICATION-TRIGONOMETRIC FUNCTIONS -SINGLE CORRECT ANSWER TYPE
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