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కింది వాటిని నిరూపించంది.(cos^(4) alpha ...

కింది వాటిని నిరూపించంది.`(cos^(4) alpha + 2cos^(2) alpha [1- 1/sec^(2) alpha] = 1-sin^(4) alpha)`

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Show that cos ^(4) alpha + 2 cos ^(2) alpha (1-(1)/(sec ^(2) alpha ))=(1- sin ^(4) alpha )

cos(n+1) alpha * cos(n-1)alpha + sin (n+1)alpha * sin (n-1) alpha =

cos^(4)alpha+sin^(4)alpha-6sin^(2)alpha cos^(2)alpha=

(1)/(sec^(4) alpha ) +(1)/("cosec"^(4) alpha ) +(2)/(sec^(2) alpha + "cosec"^(2) alpha )=

( cos 2 alpha)/( cos^(4) alpha - sin^(4) alpha ) -(cos^(4) alpha + sin^(4) alpha )/(2-sin^(2) 2alpha ) =

sin^(2) alpha * tan alpha + cos^(2) alpha * cot alpha + 2 sin alpha cos alpha =

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VIKRAM PUBLICATION ( ANDHRA PUBLICATION)-TRIGONOMETRIC RATIOS UPTO TRANSFORMATIONS-EXERCISE - 6(A)
  1. Show that cot.(pi)/(20). cot .(3pi)/(20). cot.(5pi)/(20). cot .(7pi)...

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  2. Simplify. (sigmatauv(-(11pi)/3)taualphav((35pi)/6)sigmaepsilonchi(-(...

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  3. If tan20^(@)=p then prove that = (tan610^(@)+tan700^(@))/(tan 560^(@)-...

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  4. If alpha , beta are complementry angles such that bsin alpha = a, the ...

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  5. If cos A = cos B = -1/2 and A does not lie in the second quadrant and ...

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  6. If 8 tan A = -15 and 25 sin B = -7 and neither A nor B is in the four...

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  7. If A, B, C, D are angles of a cyclic quadrilateral then P.T sin A - s...

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  8. If A,B,C,D are the angles of a cyclic quadrilateral then cos A + cos...

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  9. If 3sin A + 5 cos A = 5, then show that 5 sin A - 3 cos A = +- 3.

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  10. If tan^(2)theta = (1-e^2) show that sec theta + tan^(3). "cosec" theta...

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  11. Prove the following. (1+cottheta-cosectheta)(1+tantheta+sectheta)=2.

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  12. కింది వాటిని నిరూపించంది. 3(sin theta - cos theta)^(4) + 6(sin theta +...

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  13. కింది వాటిని నిరూపించంది. (sin theta + cosec theta)^(2) + (cos theta +...

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  14. కింది వాటిని నిరూపించంది.(cos^(4) alpha + 2cos^(2) alpha [1- 1/sec^(2)...

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  15. కింది వాటిని నిరూపించంది.(1+ sin theta - costheta)^(2)/(1+ sin theta +...

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  16. If (2sigmatauvtheta)/((1+chiosigmatheta+sigmatauvtheta)=x, then find t...

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  17. Eliminating theta from the following (i) x = a cos^(3) theta " " y...

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  18. కింది వాటిలో thetaను లోపింప చేయంది. i) x =a cos^(4)theta , y = b sin^(...

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  19. Eliminating theta from the following (ii) x = a ( sec theta + Tan ...

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  20. (ii) Eliminate 'theta' from the equations x= tan theta + cot theta, ...

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