Simplify 4sin(90)-3tan(180)

Problem

4*sin(90)−3*tan(180)

Solution

1. Identify the value of the first trigonometric function. On the unit circle, the sine of 90 corresponds to the y-coordinate at the top of the circle.

sin(90)=1

2. Identify the value of the second trigonometric function. On the unit circle, the tangent of 180 is the ratio of the y-coordinate to the x-coordinate at the leftmost point.

tan(180)=0

3. Substitute these values back into the original expression.

4*(1)−3*(0)

4. Simplify the arithmetic by performing the multiplication and subtraction.

4−0=4

Final Answer

4*sin(90)−3*tan(180)=4

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