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If x=asecthetacostheta,y=bsecthetasinthe...

If `x=asecthetacostheta,y=bsecthetasinthetaandz=thetatantheta`, then find the value of `(x^(2))/(a^(2))+(y^(2))/(b^(2))-(z^(2))/(c^(2))`

A

1

B

4

C

9

D

0

Text Solution

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The correct Answer is:
A
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KIRAN PUBLICATION-TRIGONOMETRY -TYPE - II
  1. (tantheta)/(1-cottheta)+(cottheta)/(1-tantheta) is equal to -

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  2. If (sintheta)/(x)=(costheta)/(y) then sintheta-costheta is equal to

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

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  4. If k=(1-sinalpha)(1-sinbeta)(1-singamma)=(1+sinalpha)(1+sinbeta)(1+si...

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  5. The numerical value of (1)/(1+cot^(2)theta)+(3)/(1+tan^(2)theta)+2 ...

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  6. If thetagt0 be an acute angle , then the value of theta in deg...

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  7. If f(x) = 3(sin x - cos x)^(4) + 6(sin x + cos x)^(2) +4(sin^(6)x + co...

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  8. The value of sectheta((1+sin theta)/(costheta)+(costheta)/(1+sinthe...

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  9. The value of cot17^(@)(cot73^(@)cos^(2)22^(@)+(1)/(cot17^(@)sec^(2)...

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  10. The elimination of theta from x cos theta+ysin theta=2 and xsin theta-...

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  11. The value of [(cos^(2)A(sinA+cosA))/("cosec"^(2)A(sinA-cosA))+(sin^...

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  12. The value of (1)/("cosec"theta-cottheta)-(1)/(sintheta) is

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  13. If costheta+sintheta=sqrt(2)costheta , then costheta-sintheta is

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  14. If cos^(4)theta-sin^(4)theta=(2)/(3), then the value of 1-2sin^(2)thet...

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  15. Find the value of (1)/((1+tan^(2)theta))+(1)/((1+cot^(2)theta))

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  16. theta is a positive acute angle and sin theta-costheta=0 , then ...

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  17. The value of (sinA)/(1+cosA)+(sinA)/(1-cosA) is (0^(@)ltAlt90^(@))

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  18. If xcostheta-ysin theta=sqrt(x^(2)+y^(2))and(cos^(2)theta)/(a^(2))+(s...

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  19. If tantheta-cottheta=0 , find the value of sintheta+costheta.

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  20. The greatest value of sin^(4)theta+cos^(4)theta is

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