Use Identities to Find the Indicated Value for Each Angle $\cos 2 \theta = - \frac { 5 } { 7 }$

question 137

Multiple Choice

Use identities to find the indicated value for each angle measure.
- $\cos 2 \theta = - \frac { 5 } { 7 }$ and $\frac { \pi } { 2 } < \theta < \pi \quad$ Find $\sin \theta$

• A) \(\sin \theta = \frac { \sqrt { 42 } } { 6 }\)
• B) \(\sin \theta = 0\)
• C) \(\sin \theta = \frac { \sqrt { 42 } } { 7 }\)
• D) \(\sin \theta = - \frac { \sqrt { 42 } } { 7 }\)

---

Definitions:

Rate of Return

The profit or deficit incurred on an investment throughout a designated period, shown as a percentage of the investment's starting value.

Savings Account

A savings account is a bank account where you can store money securely while earning interest on your balance.

EAR

Effective Annual Rate (EAR) is a measure of interest that takes into account the effects of compounding over a given period.

Compounded Monthly

Interest calculated on an investment or loan each month based on both the initial principal and the accumulated interest from previous months.