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Evaluate: inte^tantheta(sectheta-sinthet...

Evaluate: `inte^tantheta(sectheta-sintheta)d theta`

A

`-e^(tan theta)sintheta+C`

B

`e^(tan theta)sintheta+C`

C

`e^(tan theta)sectheta+C`

D

`e^(tan theta)costheta+C`

Text Solution

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The correct Answer is:
d
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Evaluate: int(1+costheta)/(theta+sintheta)d theta

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Knowledge Check

  • int(sectheta)/(sec theta+tantheta)d theta=

    A
    `tan theta+sectheta+c`
    B
    `-(tan theta+sectheta)+c`
    C
    `tan theta-sectheta+c`
    D
    `sec theta-tan theta+c`

  • (tantheta+sectheta-1)/(tantheta-sectheta+1)=

    A
    `(1-sintheta)/(costheta)`
    B
    `(1+sintheta)/(costheta)`
    C
    `(costheta)/(1-sintheta)`
    D
    `(costheta)/(1+sintheta)`

  • What is the value of (sectheta-costheta)("cosec"theta-sintheta)(cottheta+tantheta) ?

    A
    1
    B
    2
    C
    `1sintheta`
    D
    `costheta`

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    If tantheta+sectheta=sqrt3, then: theta=

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