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प्रश्न
If A = 600 and B = 300, verify that:
(iii) tan (A-B) = `(tan A-tanB)/(1+tan A tan B)`
उत्तर
tan (A – B) = tan 600 =` 1/sqrt(3)`
`(tan A - tan B)/(1+ tan A tan B) = (tan 60^0 - tan 30^60)/(1+tan60^0tan30^0) = (sqrt(3)-(1/sqrt(3))) /(1+(sqrt(3) xx1/sqrt(3))` = `1/2 xx(3-1)/sqrt(3) = 3/sqrt(3)`
∴ `tan (A-B) = (tan A- tan B)/(1+ tan A tan B)`
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