Triangle PRQ is half of an equilateral triangle.  If angle P is 30°  is What is the value of sec 60° ?

The secant of an angle in a right triangle is defined as the ratio of the hypotenuse to the adjacent side.

In this case, we are asked to find the secant of 60°.

Step 1: Draw a right triangle with one angle of 60°.

Step 2: Recall the properties of a 30-60-90 triangle. The sides are in the ratio of 1:√3:2.

Step 3: The secant of an angle is the reciprocal of the cosine of the angle.

Step 4: The cosine of 60° is adjacent/hypotenuse = 1/2.

Step 5: Therefore, the secant of 60° is the reciprocal of the cosine of 60°, which is 2/1 = 2.

So, the value of sec 60° is 2.