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If sqrt2 costheta-sqrt6 sintheta=2sqrt2...

If `sqrt2 costheta-sqrt6 sintheta=2sqrt2`, then the value of `theta` can be ___________.

A

`0^(@)`

B

`-45^(@)`

C

`30^(@)`

D

`-60^(@)`

Text Solution

Verified by Experts

The correct Answer is:
B
(i) Divide the equation with`2sqrt2`.
Then substitute `(1)/(2)=cos^(@) and (sqrt3)/(2)=sin60^(@)`.
(ii) Now apply the formula,
`cos(A+B)=cosA cosB- sinA sinB` then obtain the value of `theta`.
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