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If x gt 0 and 2 cos^(2) (x - 1/x) =x + 1...

If `x gt 0` and `2 cos^(2) (x - 1/x) =x + 1/x`, then prove that `x^(2) + 1/x^(2) =2`

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LUCENT PUBLICATION-ELEMENTARY TRIGONOMETRIC IDENTITIES -EXERCISE 11B
  1. If x gt 0 and 2 cos^(2) (x - 1/x) =x + 1/x, then prove that x^(2) + 1/...

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  2. If sec theta=4x and tan theta=4/x, (x ne 0) then the value of 8(x^2-1/...

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  3. 2-cos^(2)theta =3 sintheta costheta , sintheta ne cos theta, then the...

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  4. If sintheta+costheta=sqrt(2)sin(90^(@)-theta) , then the value of co...

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  5. If x sin^(3) theta + y cos^(3) theta = sin theta cos theta and x sin t...

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  6. A and B are complementary angles, then find the value of sinAcosB+cosA...

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  7. The least value of 2sin^2theta+3cos^2theta is

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  8. sec^(4)theta - sec^(2)theta equals

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  9. If costheta+cos^(2)theta=1, then find the value of sin^(4)theta+sin^(2...

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  10. If sec theta - cosec theta = 0 , then the value of (sec theta + cosec ...

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  11. If P sin theta = sqrt(3) and P costheta =1, then the value of P is:

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  12. If mu(n) = cos^(n)alpha + sin^(n)alpha, then the value of 2mu(6)- 3mu(...

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  13. If sin(x+y)=cos[3(x+y)], then the value of tan[2(x+y)] is.

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  14. The value of (1+sec20^(@)+cot70^(@))(1-"cosec"20^(@)+tan70^(@)) is...

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  15. If alpha is a positive acute angle and 2sin alpha+15cos^(2)alpha=7, th...

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  16. The value of theta [0^(@) lt theta lt 90^(@)], for which (cos theta)/(...

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  17. If sec theta+tan theta=3, then the value of sec theta is: यदि sec th...

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  18. If tan2theta.tan4theta=1 , then the value of tan3theta is

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  19. If costheta+sectheta=sqrt(3) , then the value of (cos^(3)theta+sec...

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  20. If 2ycos theta =x sin theta and 2x sectheta -y "cosec"theta =3, then t...

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  21. If sectheta + tan theta = sqrt(3), then the positive value of sin thet...

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