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Prove that: (t a n(90^0-theta)s e c(180^...

Prove that: `(t a n(90^0-theta)s e c(180^0-theta)s in(-theta))/(s in(180^0+theta)cot(360^0-theta)cos e c(90^0-theta))=1`

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To prove the equation \[ \frac{\tan(90^\circ - \theta) \sec(180^\circ - \theta) \sin(-\theta)}{\sin(180^\circ + \theta) \cot(360^\circ - \theta) \cos(90^\circ - \theta)} = 1, \] we will simplify the left-hand side step by step. ...
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What is the value of (tan (90^@-theta) sec (180^@-theta)sin(-theta))/(sin (180^@+theta) cot (360^@-theta) "cosec"(90^@-theta)) ?

(cot(90^(@)-theta)sin(180^(@)-theta)sec(360^(@)-theta))/(tan(180^(@)+theta)sec(-theta)cos(90^(@)+theta))

Knowledge Check

  • What is the value of , (sin(90^@-theta)sec(180^@-theta)sin(-theta))/(sin(180^@+theta)cot(360^@-theta)cosec(90^@+theta)) :

    A
    `sintheta`
    B
    `costheta`
    C
    1
    D
    `1/sqrt2`
  • What is the value of : (sin(90^(@)-theta)sec(180^(@)-theta)sin(-theta))/(sin(180^(@)+theta)cot(360^(@)-theta)"cosec "(90^(@)+theta)) :

    A
    `sin theta`
    B
    `cos theta`
    C
    1
    D
    `(1)/(sqrt2)`
  • (cos(90^(@)-theta).sec(90^(@)-theta).tantheta)/(cosec(90^(@)-theta).sin(90^(@)-theta).cot(90^(@)-theta))=?

    A
    1
    B
    2
    C
    3
    D
    `-1`
  • Similar Questions

    Explore conceptually related problems

    Prove that ("cos"(90^0+theta)"sec"(-theta)"tan"(180^0-theta))/("sec"(360^0-theta)"sin"(180^0+theta)"cot"(90^0-theta))=-1.

    Prove that (cos(90^(0)+theta)sec(-theta)tan(180^(@)-theta))/(sec(360^(@)-theta)sin(180^(@)+theta)cot(90^(@)-theta))=-1

    sin(90+theta)+cos(90-theta)+tan(180-theta)+cot(180+theta)

    Prove that (cos(90^(@)+theta)sec(-theta)tan(180^(@)-theta))/(sec(360^(@)-theta)sin(180^(@)+theta)cot(90^(@)-theta))=-1

    (cos theta)/(sin(90^(@)+theta))+(sin(-theta))/(sin(180^(@)+theta))-(tan(90^(@)+theta))/(cot theta)