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Prove that (costheta)/sin(90^@+theta)+(s...

Prove that `(costheta)/sin(90^@+theta)+(sin(-theta))/sin(180^@+theta)-(tan(90^@+theta))/(cot(theta))=3`

Answer

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

Simplify: (i) (cos theta)/(sin (90^@ + theta)) + (sin (-theta))/(sin(180^(@) + theta)) - (tan(90^(@)+theta))/(cot 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`

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