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If sin theta : cos theta : : a : b the...

If `sin theta : cos theta : : a : b ` then the value of sec `theta` is

A

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

B

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

C

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

D

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

Text Solution

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The correct Answer is:
C
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S CHAND IIT JEE FOUNDATION-TRIGONOMETRICAL RATIOS -Question Bank - 32
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  4. If sin theta : cos theta : : a : b then the value of sec theta is

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  6. If cos A = 0. 6 then 5 sin A - 3 tan A is equal to

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  7. If cos theta = (3)/(5) , then the value of (sin theta . tan theta + 1)...

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  8. If tan theta = (x)/(y) , " then " (x sin theta + y cos theta)/( x sin...

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  9. In a Delta ABC right angled at B, if tan A = (1)/( sqrt(3)) , find th...

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  10. If 7 sin A = 24 cos A then 14 tan A + 25 cos A - 7 sec A equals

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  11. The value of sin^2 theta cos^2 theta (sec^2 theta + cosec^2 theta ) is

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  12. Which of the following is not an identity ?

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  13. if x = a sec theta + b tan theta y = b sec theta + a tan theta ...

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  14. If x = a cos ^(3) theta and y = b sin ^(3) theta, then the value of ...

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  15. What is the value of (cosec A - sin A) (sec A - cos A) (tan A + cot A)...

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  16. What is the value of (sin^(3) x + cos^(3) x)/( sin x + cos x) + sin x...

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  17. (cos theta)/(1 - sin theta) + (cos theta)/( 1 + sin theta) equals

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  18. Consider the following : 1. tan^(2) theta - sin^(2) theta = tan^(2)...

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  19. sin^(4) theta + 2 cos^(2) theta (1 - (1)/( sec^(2) theta)) + cos ^(4) ...

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

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