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Nikolas is asked to prove that cos^2 x+c...

Nikolas is asked to prove that `cos^2 x+cos^4 x=1` if `sinx+sin^2x=1` He proceeded as follows. But he could not complete the solution. Observe the solution and write the complete solution. Given that `sinx+sin^2x=1 `therefore `sinx=1-sin^2x`
`sinx=cos^2x ...............`

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A N EXCEL PUBLICATION-TRIGONOMETRIC FUNCTIONS-QUESTION BANK
  1. Suppose that costheta=-1/2 and theta is in the 2nd quadrant prove tha...

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  2. Match the following:

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  3. Nikolas is asked to prove that cos^2 x+cos^4 x=1 if sinx+sin^2x=1 He p...

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  4. Given that three numbers a,b,c are in G.P.If b^2=ac Prove that cot^2 3...

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  5. Match the following:

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  6. Prove that sin105^@+cos105^@=cos45^@

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  7. Choose the correct answer from the bracket and fill in the blank sin(B...

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  8. Prove that cosAsin(B-C)+cosBsin(C-A)+cosCsin(A-B)=0

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  9. A wheel is rotated pi/2 radians. Convert the angle of rotation into de...

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  10. A wheel is rotated pi/2 radians. Convert the angle of rotation into de...

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  11. Evaluate the following tan((13pi)/3)

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  12. Given that sinx+siny=a and cosx+cosy=b rajan derived the value of tan(...

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  13. Prove that cotA-tanA=2cotA

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  14. using cotA-tanA=2cot2A deduce that tanalpha+tan2 alpha+4tan4alpha+8co...

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  15. What is the value of tan30^@+2tan60^@+4tan120^@+8cot240^@? Also verify...

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  16. Match the following:

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  17. Prove that tan^2 60^@+4cos^2 45^@+3sec^2 30^@+5cos^2 90^@=9

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  18. Suppose theta is an acute angle and tantheta+cot theta=2 Derive a quad...

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  19. Suppose theta is an acute angle and tantheta+cot theta=2 solve the gi...

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  20. Suppose A and B are angles lying in the first quadrant such that tanA=...

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