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If secA + tan A = m, prove that : sinA=...

If `secA + tan A = m`, prove that : `sinA= (m^2-1)/(m^2+1)` .

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MODERN PUBLICATION-TRIGNOMETRY-EXERCISE
  1. If sinA :cosA :: 8: 15, find sin A and cos A.

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  2. If cosec A -cot A= 3/2, find cos A and also the quadrant in which A li...

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  3. If secA + tan A = m, prove that : sinA= (m^2-1)/(m^2+1) .

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  4. If 5 sin theta = 3, find the value of (sec theta -tan theta)/ (sec the...

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  5. Prove that the equation : cos theta= x+1/x is impossible if x be real...

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  6. Prove that the equation : (a+b)^2= 4ab sin^2 theta is possible only w...

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  7. If x and y are real, show that the equation : sec^2 theta= (4xy)/(x+...

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  8. Find the value of the following : sin^2 30^@ + sin^2 45^@+ sin^2 60^...

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  9. Find the value of the following : (sin 60^@)/(cos^2 45^@)-3 tan 30^@...

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  10. Find the value of the following : 3 sin^2 30^@+ 2 tan^2 60^@- 5 cos^...

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  11. Find the value of the following : 2 sin^2 30^@- 3 cos^2 45^@+ cos^2 ...

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  12. Prove that : cot^2 60^@+ sin^2 45^@+ sin^2 30^@+ cos^2 90^@=13/12.

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  13. Prove that : cosec 60^@ cot 30^@ tan 60^@= 2 sec^2 45^@ cos30^@.

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  14. Prove that : cos^2 30^@, cos^2 45^@, cos^2 60^@ are in A.P.

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  15. Prove that : cot^2 30^@, cot^2 45^@, cot^2 60^@ are in G.P.

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  16. If A= 45^@, verify that : sin 2A =2 sin A cos A .

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  17. If A= 45^@, verify that : cos 2A = cos^2 A - sin^2 A.

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  18. If theta = 30^@, verify that tan 2 theta= (2 tan theta)/(1- tan^2 thet...

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  19. If A= 30^@ and B= 60^@, verify that : sin (A + B) = sin A cos B + co...

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  20. Given tan 2A = (2 tan A)/(1-tan^2A). If tan 30^@= 1/sqrt3, verify that...

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