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```        if @ and \$ are the acute angles such that sin@=1/2 and cos\$=1/3 then @+\$ lies in the interval?
ans=]pie/3,2pie/3[```
7 years ago

Devasish Bindani
45 Points
```										sin@=1/2 => cos@=31/2
cos\$=1/3 =>sin\$=(2*21/2)/3
Cos(@+\$)=cos@cos\$-sin@sin\$=(1/31/2-21/2/3)=(1-61/2)/3
the value of 61/2=0.573 and cos (pie/3)=31/2/2=0.868 and cos (2pie/3)=0.5
since value of cos(@+\$)lies bettween cos(pie/3) and cos(2pie/3)
thus @+\$ lies bettween [pie/3,2pie/3]
```
7 years ago
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