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If sinx+cosx=a then |sinx-cosx|=...

If `sinx+cosx=a` then `|sinx-cosx|=`

A

`sqrt(2-a^(2))`

B

`sqrt(2+ a ^(2))`

C

`sqrt(a^(2) -2)`

D

`sqrt (a^(2) -4)`

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The correct Answer is:
A
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TARGET PUBLICATION-TRIGONOMETRIC FUNCTIONS -CRITICAL THINKING
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  2. If cos theta + sin theta = sqrt2 cos theta " then" cos theta - sin th...

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  3. If sinx+cosx=a then |sinx-cosx|=

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  4. If 3 sin theta + 4 cos theta=5, then find the value of 4 sin theta-3 c...

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  5. If u(n) = sin ^(n) theta + cos ^(n) theta, then 2 u(6) -3 u(4) is equ...

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  6. If sin x + sin ^(2) x=1, then the value of cos ^(12) x+3 cos ^(10) x+...

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  7. If 10sin^4 alpha+15 cos^4 alpha=6, then find the value of 27 cosec^6 a...

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  8. sin alpha =(2xy)/(x^2+y^2) => sec alpha - tan alpha=

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  9. If sec theta - tan theta =(a+1)/(a-1), then cos theta =

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  10. If sectheta=x+1/(4x), then s e ctheta+t a ntheta= x ,1/x (b) 2x ,1/(...

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  11. The value of sin^(6)((pi)/(49))+cos^(6)((pi)/(49))-1+3sin^(2)((pi)/(...

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  12. If (2sinalpha)/({1+cos alpha+sin alpha})=y, then ({1-cos alpha+sin alp...

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  13. The value of the expression 1- (sin^(2)y)/(1+ cos y) + (1+ cos y)/(s...

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  14. (2 sin theta * tan theta (1- tan theta ) + 2 sin theta sec^(2) theta )...

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  15. If A is an obtause angle, then (sin^(3)A-cos^(3))/(sinA-cosA)+(sinA)/(...

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  16. x/acostheta+y/bsintheta=1, x/asintheta-y/bcostheta=1 then x^2/a^2+y^...

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  17. If xsin^3alpha+ycos^3alpha=sinalpha cos alpha and xsinalpha-ycosalpha...

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  18. If acos^3alpha+3acosalphasin^2alpha=m and asin^2alpha+3acos^2alphasina...

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  19. IF tan ^(2) alpha tan ^(2) beta + tan ^(2) beta tan ^(2) gamma + tan ^...

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  20. If p=(2sin theta)/(1+cos theta+sin theta), and q=(cos theta)/(1+sin th...

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