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If cos A+ sin A=(1)/(2(cosA-sinA)),(0^(@...

If `cos A+ sin A=(1)/(2(cosA-sinA)),(0^(@) lt A lt 90^(@))`, then `sin^(2)A`=____________

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The correct Answer is:
`(1)/(4)`
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PEARSON IIT JEE FOUNDATION-TRIGONOMETRY -Very short answer Type Questions
  1. If tan theta=(5)/(6) and tan phi=(1)/(11), then theta+phi=

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  2. If A-B=45^(@) and tanA-tanB=sqrt(3), then tanA*tanB=

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  3. If cos A+ sin A=(1)/(2(cosA-sinA)),(0^(@) lt A lt 90^(@)), then sin^(2...

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  4. The value of (sin A-cosA)^(2)+ (sinA+cosA)^(2) is

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  5. If A+B=60^(@), then the value of sin A cosB + cos A sin B=

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  6. In DeltaABC, the value of cos(A-B)-cos (C ) is

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  7. ABC is right triangle , right angled at A, then tanB* tan C=

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  8. tan(A+B)=sqrt(3) and sinA=(1)/(sqrt(2)), then the value of B in radian...

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  9. In DeltaABC, the lengths of the three sides AB,BC and CA are 28cm, 96 ...

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  10. If sin A= cos B, where A and B are acute angles, then A+B=

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  11. ABC is a right isosceles triangle, right angled at B. Then sin^(2)A...

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  12. Evaluate: sin^(2)60^(@) cos^(2)45^(@) cos^(2)60^(@)" cosec"^(2)90^(@)

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  13. If sin theta =(3)/(5) and theta is acute, then find the value of (tan...

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  14. Find the value of the cos 15^(@).

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  15. Evaluate: "cosec"^(2)30^(@)+sec^(2)60^(@)+tan^(2)30^(@).

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  16. Convert (pi^(c ))/(15) into the other two systems.

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  17. In the adjoining figure, find the value of tan B.

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  18. Simplify and express sec^(4) alpha- tan^(4) alpha in their least expon...

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  19. Convert ((200)/(3))^(g) into other two systems.

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  20. Convert 270^(@) into other two systems.

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