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If sinalpha=1/2 and cosbeta=1/2, then th...

If `sinalpha=1/2` and `cosbeta=1/2`, then the value of `(alpha+beta)` is

A

`0^(@)`

B

`30^(@)`

C

`60^(@)`

D

`90^(@)`

Text Solution

Verified by Experts

The correct Answer is:
D
Given, `sinalpha=1/2=sin30^(@)` `[therefore sin 30^(@)=1/2]`
`rArr alpha=30^(@)`
and `cosbeta=1/2=cos60^(2)` `[therefore cos60^(@)=1/2]`
`rArr beta=60^(@)`
`therefore alpha+beta=30^(@)+60^(@)=90^(@)`
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