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If sin theta + cos theta = a " then " s...

If ` sin theta + cos theta = a " then " sin^(4) theta + cos^(4) theta =`

A

`1-(1)/(2)(a^(2)+1)^(2)`

B

`1-(1)/(2)(a^(2)-1)^(2)`

C

`1+(1)/(2)(a^(2)+1)^(2)`

D

`1+(1)/(2)(a^(2)-1)^(2)`

Text Solution

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The correct Answer is:
B
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DIPTI PUBLICATION ( AP EAMET)-TRIGONOMETRIC RATIOS AND IDENTITIES -EXERCISE 1 A ( TRIGONOMETRIC FUNCTIONS)
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  2. sin theta + cos theta = p , sin^(3) theta + cos^(3) theta = qimpliesp(...

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  3. If sin theta + cos theta = a " then " sin^(4) theta + cos^(4) theta =

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  4. If a cos theta + b sin theta = c " then " (a sin theta - b cos theta...

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  5. If x=a ( " cosec " alpha + cot alpha) and y=(b(1- cos alpha))/(sin al...

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  6. If sec theta + cos theta =1 , " then " sec^(3) theta + cos^(3) theta...

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  7. If sin alpha + "cosec" alpha = 2, find value of sin^(n) alpha + "cosec...

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

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  9. If sin theta + sin^(2) theta =1 , " then " cos^(2) theta + cos^(4) th...

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  10. If sin x + sin^(2) x =1 " then " cos^(8) x + 2 cos^(6) x + cos^(4) x...

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  11. If cos x + cos^(2) x =1 , " then " sin^(12) x + 3 sin^(10)x + 3sin^(8...

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  12. If cos alpha + cos beta + cos gamma =3 , " then " sin alpha + sin bet...

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  13. If sin theta 1+ sin theta 2+ sin theta 3=3 " then " cos theta 1 + cos...

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  14. If sin theta , cos theta are ther roots of the equation ax^(2)-bx+c...

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  15. If k=(1+ sin A) (1+ sin B)(1+ sin C)=(1- sin A) (1- sin B) (1- sin C) ...

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  16. If k=( sec A + tan A) ( sec B+ tan B) sec C + tan C)=(sec A - tan A)(s...

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  17. If sec theta =a+(1)/(4a) " then " sec theta + tan theta =

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  18. If "cosec " theta =p+(1)/(4p) , " then cosec " theta + cot theta =

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  19. If "cosec"^(2) theta = (4xy)/((x+y)^(2)), then

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  20. If a sin x = b cos x =(2c tan x )/(1- tan^(2) x) " then " ((a^(2)-b^(...

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