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प्रश्न
The value of `tan(cos^-1 3/5 + tan^-1 1/4)` is ______.
विकल्प
`19/8`
`8/19`
`19/12`
`3/4`
उत्तर
The value of `tan(cos^-1 3/5 + tan^-1 1/4)` is `19/8`.
Explanation:
`tan(cos^-1 3/5 + tan^-1 1/4) = tan(tan^-1 4/3 + tan^-1 1/4)`
= `tan^-1 ((4/3 + 1/4)/(1 - 4/3 xx 1/4))`
= `tan^1 (19/8)`
= `19/8`.
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