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Express the trigonometric ratios sin A, ...

Express the trigonometric ratios sin A, sec A, and tan A in terms of cot A.

Text Solution

Verified by Experts

The correct Answer is:
(a) `sin A = (1)/(sqrt(1+cot^(2)A))`.
(b) `sec A = (sqrt(1+cot^(2)A))/(cot A)`.
(c) `tan A = (1)/(cot A)`.
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Knowledge Check

  • The trigonometric equation sin^(-1) x=2 sin^(-1) a has a solution for :

    A
    all real values
    B
    `|a| lt 1/2`
    C
    `|a| le 1/sqrt2`
    D
    `1/2 lt |a| lt 1/sqrt2`

  • ( sec A + tan A ) ( 1 - sin A ) = ?

    A
    ` sec A `
    B
    ` sin A `
    C
    ` cosec A `
    D
    ` cos A `

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