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If cos(A-B)=(1)/(2)andsin(A+B)=(1)/(2), ...

If `cos(A-B)=(1)/(2)andsin(A+B)=(1)/(2)`, then find the minimum positive value of `angleA`.

A

`135^(@)`

B

`45^(@)`

C

`30^(@)`

D

`105^(@)`

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The correct Answer is:
D
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ADVANCED MATHS BY ABHINAY MATHS ENGLISH-TRIGONOMETRY -EXERCISES (Multiple Choice Questions)
  1. If tan(A+B)=(1)/(2),tan(A-B)=(1)/(3), then find the value of tan2A.

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  2. If tan(A+2B)=(1)/(2),tan2(A-B)=(1)/(3), then find the value of angleA.

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  3. If cos(A-B)=(1)/(2)andsin(A+B)=(1)/(2), then find the minimum positive...

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  4. If sin(x+y)=1andtan(x-y)=(1)/(sqrt(3)), then the value of sinx+tany is...

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  5. If sinA+cosA=(3)/(5), then find the value of sinA-cosA.

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  6. If sec^(2)theta+tan^(2)theta=(7)/(12), then sec^(4)theta-tan^(4)theta=...

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  7. If cosec^(2)theta+cot^(2)theta=(5)/(7), then find the value of cosec^(...

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  8. If secx+tanx=a, then find the value of sinx.

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  9. If cosec x -cot x = a, then find the value of cosx.

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  10. Find the value of (sinx+cosecx)^(2)+(cosx+secx)^(2)-(tan^(2)x+cot^(2...

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  11. Find the value of (sinx+cosecx)^(2)+(cos+secx)^(2)-(tanx+cotx)^(2),

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  12. Find the value of (sinx+cosecx)^(2)+(cosx-secx)^(2)-(tanx+cotx)^(2),

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  13. Find the value of 2(sintheta^(6)+cos^(6)theta)-3(sin^(4)theta+cos^(4...

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  14. Find the value of 2(sin^(6)theta+cos^(6)theta)-3(sin^(4)theta+cos^(4...

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  15. If u(n) = cos^(n) alpha + sin^(n) alpha , then the value of 2 u(6) - 3...

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  16. If (sectheta+tantheta)/(sectheta-tantheta)=2(51)/(79), then sintheta w...

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  17. If sintheta+sin^(2)theta=1, then find the value of cos^(2)theta+cos^(4...

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  18. If costheta+cos^(2)theta=1, then find the value of sin^(4)theta+sin^(2...

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  19. If cosA+cos^(2)A=1, then find the value of sin^(8)A+2sin^(6)A+sin^(4)A...

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  20. If cosA+cos^(2)A=1, then find the value of sin^(12)A+3sin^(10)A+3sin^(...

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