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Prove that : 2 sin^(-1)( 3/5) = tan^(-1)...

Prove that :` 2 sin^(-1)( 3/5) = tan^(-1)( 24/7)`

Text Solution

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=`2 sin^(-1)(3/5)`
=`2 tan^(-1)(3/4)`
=`tan^(-1)(3/4)+tan^(-1)(3/4)`
=`tan^(-1)(((3/4)+(3/4))/(1-(3/4)(3/4)))`
=`tan^(-1)((24/16)/(7/16))`
=`tan^(-1)(24/7)`
hence proved
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Prove that: ,,2sin^(-1)(3)/(5)=tan^(-1)(24)/(7)

sin^(-1)(3/5)+tan^(-1)(1/7)=

Knowledge Check

  • sin^(-1)(3/5)+tan^(-1)(1/7)=

    A
    `pi/4`
    B
    `pi/2`
    C
    `cos^(-1)"4/5`
    D
    `pi`

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