Find the Exact Value of the Expression $\cos ^ { - 1 } \left[ \cos \left( - \frac { 3 \pi } { 5 } \right) \right]$

question 385

Multiple Choice

Find the exact value of the expression. Do not use a calculator.
- $\cos ^ { - 1 } \left[ \cos \left( - \frac { 3 \pi } { 5 } \right) \right]$

• A) \(- \frac { 3 \pi } { 5 }\)
• B) \(\frac { 2 \pi } { 5 }\)
• C) \(\frac { 3 \pi } { 5 }\)
• D) \(- \frac { 2 \pi } { 5 }\)

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Definitions:

Exercise Price

The specified price at which the option holder can buy or sell the underlying asset in options trading.

In The Money

A term used to describe an option contract that has intrinsic value, indicating that it is profitable to exercise.

In The Money

Describes an option contract that has intrinsic value, where a call option's strike price is below the current market price of the underlying asset, or a put option's strike price is above the current market price of the underlying asset.

American Put Option

A type of options contract that grants the holder the right, but not the obligation, to sell a specified quantity of an underlying asset at a predetermined price before or at the contract's expiration.