Question

If tan (a+b)=tanA+tanB/1-tanAtanB,find i) tan75 ii)cot 15​

Answer 1

Step-by-step explanation:

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$\tan(75)\:can\:be\:written\:as\:$

$\tan(45 + 30) = ( \tan(45) + \tan(30)) \div (1 - \tan(45) \tan(30) )$

$(1 + \frac{1}{ \sqrt{3} } ) \div (1 - \frac{1}{ \sqrt{3} } )$

$( \sqrt{3} + 1) \div ( \sqrt{3} - 1)$

$(3 + 1 + 2 \times 3 \times 1) \div (3 - 1)$

$10 \div 2 = 5$

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