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If tantheta=(sinalpha-cosalpha)/(sinalph...

If `tantheta=(sinalpha-cosalpha)/(sinalpha+cosalpha)`, then `sinalpha+cosalphaandsinalpha-cosalpha` are equal to

A

`+-sqrt(2)sintheta`

B

`+-sqrt(2)costheta`

C

`+-(1)/(sqrt(2))sin theta`

D

`+-(1)/(2)costheta`

Text Solution

Verified by Experts

The correct Answer is:
B
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KIRAN PUBLICATION-TRIGONOMETRY -TYPE - II
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  3. If tantheta=(sinalpha-cosalpha)/(sinalpha+cosalpha), then sinalpha+cos...

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  4. If tan9^(@)=(p)/(q) , then the value of (sec^(2)81^(@))/(1+cot^(2)...

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  5. If sectheta+tantheta=5 , then the value of (tantheta+1)/(tantheta-1...

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  6. If tan ^2 theta =1-e ^(2), then sec theta + tan ^(3) theta cosec thet...

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  7. Which one of the following is true for 0^(@)ltthetalt90^(@)?

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  8. If x=asecthetacostheta,y=bsecthetasinthetaandz=thetatantheta, then fin...

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  9. The value of (cos^(2)60^(@)+4sec^(2)30^(@)-tan^(2)45^(@))/(sin^(2)30...

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  10. If cos^2 theta - sin^2 theta = 1/3, where 0 le theta le pi/2, then the...

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  11. If tan theta = 1/(sqrt(11)) and 0 < theta < pi/2, then the value of ("...

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  12. The value of (1)/(sqrt(2))"sin"(pi)/(6)"cos"(pi)/(4)-"cot"(pi)/(3)"...

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  13. If sintheta=(3)/(5) , then the value of (tantheta+costheta)/(cotthet...

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  14. If acostheta +bsin theta=pand a sin theta-b cos theta=q, then the r...

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  15. If (sinalpha+"cosec"alpha)^(2)+(cosalpha+secalpha)^(2)=k+tan^(2)alpha...

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  16. If sin21^(@)=(x)/(y) , then sec21^(@)-sin69^(@) is equal to

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  17. If costheta=(x^(2)-y^(2))/(x^(2)+y^(2)) then the value of cotthet...

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  18. If 7sinalpha=24cosalpha,0ltalphalt(pi)/(2) then the value of 14tana...

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  19. If 2sintheta+costheta=(7)/(3) then the value of (tan^(2)theta-sec...

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  20. If 29tan theta=31 , then the value of (1+2sinthetacostheta)/(1-2...

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