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Chapter 12: Q. 11 (page 840)

Find the exact value of $\cos^{- 1} (0.5)$

Short Answer

Expert verified

The value of $\cos^{- 1} (0.5)$ is $60^{\circ} = \frac{π}{3}$

Step by step solution

01

Step 1. Given Information

The given inverse trigonometric function is $\cos^{- 1} (0.5)$

02

Step 2. Finding solution

Let $y = \cos^{- 1} (0.5) y = \cos^{- 1} (\frac{1}{2}) y = 60^{\circ}$

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Most popular questions from this chapter

In Problems 37–50, a sequence is defined recursively. Write down the first five terms.

$a_{1} = \sqrt{2}; a_{n} = \sqrt{2 + a_{n - 1}}$

In Problems 61–70, express each sum using summation notation.

$1^{3} + 2^{3} + 3^{3} + . . . . + 8^{3}$

In Problems 17–28, write down the first five terms of each sequence.

$\{b_{n}\} = \{\frac{n}{e^{n}}\}$

In Problems 61–70, express each sum using summation notation.

$a + (a + d) + (a + 2 d) + . . . . . . . . + (a + n d)$

In Problems 51–60, write out each sum.

$\sum_{k = 1}^{n} (k + 2)$

See all solutions

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