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If cos alpha =1/2 and tan …

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If cos alpha =1/2 and tan beta =1/3find the value of sin(alpha+beta) where alpha and beta both acute angles

Posted by Palak Jha 6 years, 6 months ago

CBSE > Class 10 > Mathematics

1 answers

Sia ? 6 years, 6 months ago

cos {tex}\alpha=\frac{1}{2}{/tex} = cos 60°
{tex}\Rightarrow{/tex} {tex}\alpha{/tex} = 60°
Also tan {tex}\beta=\frac{1}{\sqrt{3}}{/tex} = tan 30°
{tex}\Rightarrow \beta{/tex} = 30°
Now sin {tex}(\alpha+\beta){/tex} = sin (60° + 30°)
= sin 90° = 1

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CBSE > Class 10 > Mathematics