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In DeltaA B C , right-angled at B, A B"\...

In `DeltaA B C` , right-angled at B, `A B"\ "="\ "5"\ "c m` and `/_A C B=30o` (see figure). Determine the lengths of the sides BC and AC.

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In `DeltaABC`
`(AB)/(BC)=tan30^(@)`
`rArr(5)/(BC)=(1)/(sqrt(3))`
`rArrBC=5sqrt(3)` and `(AB)/(AC)=sin30^(@)`
`rArr(5)/(AC)=(1)/(2)`
`rArrAC=10cm`
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NAGEEN PRAKASHAN ENGLISH-INTRODUCTION TO TRIGONOMETRY-Problems From NCERT/exemplar
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  5. Prove that : sqrt((1-cos^(2)theta)sec^(2)theta)=tantheta

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  6. Prove (tantheta+2)(2tantheta+1)=5tantheta+2sec^2theta.

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  7. If cosA+cos^(2)A=1, then prove that sin^(2)A+sin^(4)A=1.

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  8. Prove the following identity: sec^4theta-sec^2theta=tan^4theta+tan^2th...

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  10. (sinalpha + cosalpha)(tanalpha + cotalpha) = secalpha + cosecalpha

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  11. about to only mathematics

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  12. If 2sin^(2)theta-cos^(2)theta=2, then find the value of theta.

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  13. if tantheta+sectheta=l then prove that sectheta=(l^2+1)/(2l)

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  14. If asintheta+bcostheta=c then prove that acostheta-bsintheta=sqrt(a^2+...

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  15. If sintheta+costheta=pandsectheta+"cosec"theta=q then prove that q(p^(...

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  16. Prove that : tantheta+tan(90^(@)-theta)=sectheta*sec(90^(@)-theta)

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  17. Shown that : tan48^(@)tan23^(@)tan42^(@)tan67^(@)=1

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  18. If tan A= cot B. prove that : A+B=90^(@)

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