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Question

Say true or false:
The value of sinθ+cosθ is always greater than 1.

A
True
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B
False
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Solution

The correct option is B False
Multiplying and dividing by 2 we get
2[cosθ2+sinθ2]
=2sin(θ+450)
=λ
For θ=450 we have λ=0
and for θ=0 we have λ=1
In general
λ=[2,2]
Hence the above statement is false.

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