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If tan theta + sec theta = p, then what ...

If` tan theta + sec theta = p,` then what is the value of sec ` theta ? `

A

`(p ^(2) +1 )/( p ^(2))`

B

`(p ^(2) +1 )/( sqrtp)`

C

`(p ^(2) +1 )/( 2p)`

D

`(p +1)/(2p)`

Text Solution

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The correct Answer is:
C
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DISHA PUBLICATION-TRIGONOMETRIC FUNCTIONS -EXERCISE-1
  1. The range of f (x) cos "" (pi [x])/(2) is

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  2. If (cos A)/3= (cos B)/3 = 1/5, - pi/2 lt A lt 0 and - pi/2 lt B lt 0 ...

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  3. If tan theta + sec theta = p, then what is the value of sec theta ?

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  4. If sin q + cosecq =2, then the vlaue of sin ^(6) q + cosec ^(6) q is e...

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  5. Find the radius of the circle in which a central angle of 60^(@) inter...

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  6. If cos theta = - 3/5 and pi lt theta lt 3pi/2, find the value of (sec ...

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  7. The range of f(x) = cos x - sin x is

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  8. If sin x + cos x = 1/5, then tan 2x is

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  9. The least values of ( sin ^(2) theta+ cosec ^(2) theta) is

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  10. The maximum value of [sin (x+(pi)/(6))+cos (x+(pi)/(6))] in the interv...

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  11. The expression (cos 6x+6cos 4x+15 cos 2x+10)/(cos 5x+5 cos 3x+10 co...

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  12. Which of the following functions has period 2pi ?

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  13. The value of cot 5^(@).cot 10^(@).cot 15^(@)……cot 85^(@) is

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  14. Write the value of tan((19pi)/(3))

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  15. (1+ sin A- cos A)/( 1+ sin A + cos A)=

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  16. Prove that: t a nA+tan(60^0+A)-t a n(60^0-A)=3t a n3A

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  17. If (sin (x+y))/( sin(x-y))=(a+b)/(a-b) , then (tan x)/( tan y) is equa...

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  18. If tan A=1/2 and tan B=1/3, then: A+B=

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  19. Find the value of sin((31pi)/(3)).

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  20. 1/4[sqrt(3)cos2 3^(@)-sin2 3^(@)]=

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