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Question

For the diagram shown below for a unit circle, θ=

A
60
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B
135
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C
45
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Solution

The correct option is C 45
For the unit circle, we have the diagram as:

Here, the point P is in the first quadrant and has coordinates: (12,12)
Here, for ΔOPQ,
the circle is a unit circle
OP=1 units
Now, We can define either sinθ,cosθ or tanθ
tanθ=PQOQ=ycoordinatexcoordinate
tanθ=1212=1
θ=45

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