Find the exact value of the given expression. cos^-¹ 0 A) $\pi$ B) $\frac{\pi}{2}$ C) 2 $\pi$ D) $\frac{2}{\pi}$

Question

Quizplus · Accepted Answer

We can simplify the expression using the identity cos(a-b)=cosacosb+sinasinb. Let a=S1U1P1 and b=S1S1P0. Then, cosS1U1P1-S1S1P0S1U1P11S1S1P0 = cos(a-b) = cosacosb+sinasinb. Since U1P1 and S1P0 are both perpendicular to S1S1, we know that the angle between U1P1 and S1P0 is a right angle. Therefore, sinasinb=sin90°=1 and cosacosb=0 because cos90°=0. Thus, the expression simplifies to -S1S1P0, which is equal to the length of the semicircle with diameter S1S1P0. This semicircle has measure $\pi$, so the answer is B) $\frac{\pi}{2}$.

Find the Exact Value of the Given Expression π\piπ B) π2\frac{\pi}{2}2π​ C) 2

Find the Exact Value of the Given Expression $\pi$ B) $\frac{\pi}{2}$ C) 2