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(1+costheta)(1-costheta) is equal to:...

`(1+costheta)(1-costheta)` is equal to:

A

`sin^(2)theta`

B

`tan^(2)theta`

C

1

D

0

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The correct Answer is:
A
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Knowledge Check

  • (sintheta)/(1+costheta) is:

    A
    `(cotheta)/(1-sintheta)`
    B
    `(1-costheta)/(sintheta)`
    C
    `(1-sintheta)/(costheta)`
    D
    `(1-costheta)/(1+costheta)`
  • sqrt((1+Sin theta)/(1-Sin theta)) is equal to ______

    A
    `Tan theta + Sec theta`
    B
    `Tan theta- Sec theta`
    C
    `(1)/(Tan theta)+(1)/(Sec theta)`
    D
    `(1)/(Tan theta)- (1)/(Sec theta)`
  • If tan theta=(7)/(8) ,then the value of ((1+sitheta)(1-sintheta))/((1+costheta)(1-costheta)) is:

    A
    `(7)/(8)`
    B
    `(8)/(7)`
    C
    `(64)/(49)`
    D
    `(49)/(64)`
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    Prove that sqrt((1+costheta)/(1-costheta))=cosectheta+cottheta

    Prove that: (sintheta)/(1+costheta)+(1+costheta)/(sintheta)=2cosectheta

    Show that: (a) (1+tan^(2)theta)(1-sintheta)(1+sintheta)=1 (b) (sintheta)/(1+costheta)+(1+costheta)/(sintheta)=2cosectheta

    The maximum value of Delta=|(1,1,1),(1,1+sintheta,1),(1+costheta,1,1)| is ( theta is real number ) :