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Question

Find the angle of inclination of straight line whose slope is 1.

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Solution

We know that if θ is the inclination of a straight line, then tanθ is called the slope (or gradient) of a line. The slope of a line is usually denoted by m.

Here, it is given that the slope of the line is m=1, therefore, the angle of inclination is:

m=tanθ1=tanθtan450=tanθ(tan450=1)θ=450

Hence, the angle of inclination is450.

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