Question

If cos theta= 1/2 then value of cot theta + tan theta by cosec theta is

Answer 1

Answer:

2

Step-by-step explanation:

cos theta= 1/2

theta = 60°

cot 60° = 1/√3. tan 60° = √3 , cosec 60° = 2/√3

$\frac{ \cot( theta) + \tan(theta) }{ \csc(theta) } \\ = \frac{ \cot( 60) + \tan(60) }{ \csc(60) } \\ = \frac{ \frac{1}{ \sqrt{3} } + \sqrt{3} }{ \frac{2}{ \sqrt{3} } } \\ = \frac{ \frac{4}{ \sqrt{3} } }{ \frac{2}{ \sqrt{3} } } \\ = \frac{4}{2} \\ = 2$

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