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The value of (cos(90^0-theta)sec(90^0-t...

The value of `(cos(90^0-theta)sec(90^0-theta)tantheta)/(cos e c(90^0-theta)sin(90^0-theta)cot(90^0-theta))+(tan(90^0-theta))/(cottheta)"i s"` 1 (b) -1 (c) 2 (d) -2

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Prove the following: (cos(90^(@)-theta)sec(90^(@)-theta)tan theta)/(cos ec(90^(@)-theta)sin(90^(@)-theta)cot(90^(@)-theta))+(tan(90^(@)-theta))/(cot theta)=2

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.

Knowledge Check

  • (cos(90^(@)-theta).sec(90^(@)-theta).tantheta)/(cosec(90^(@)-theta).sin(90^(@)-theta).cot(90^(@)-theta))=?

    A
    1
    B
    2
    C
    3
    D
    `-1`

  • What is the value of ([tan(90-theta)+sec(90-theta)-1])/([tan(90-theta)-sec(90-theta)+1]) ?

    A
    `[1+costheta]/sintheta`
    B
    `[1+sintheta]/costheta`
    C
    `sintheta`
    D
    `costheta`

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

    sin theta cos(90^(@)-theta)+cos theta sin(90^(@)-theta)

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