Simplify cos(90)

Problem

cos(90^∘)

Solution

1. Identify the angle and the trigonometric function. The expression is the cosine of 90 degrees.

2. Recall the coordinates on the unit circle. At 90^∘ the point on the unit circle is (0,1)

3. Apply the definition of cosine. On the unit circle, cos(θ) is equal to the xcoordinate of the point.

4. Determine the value. Since the xcoordinate at 90^∘ is 0 the value of the expression is 0

Final Answer

cos(90^∘)=0

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