Use Identities to Find the Exact Value $\sin \left( x + 45 ^ { \circ } \right)$

question 96

Multiple Choice

Use Identities to find the exact value.
- $\sin \left( x + 45 ^ { \circ } \right)$

• A) \(\sin x\)
• B) \(\frac { \sqrt { 2 } } { 2 } \cos x + \frac { \sqrt { 2 } } { 2 } \sin x\)
• C) \(- \cos x\)
• D) \(\frac { \sqrt { 2 } } { 2 } \cos x - \frac { \sqrt { 2 } } { 2 } \sin x\)

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Definitions:

Annuity Due

A type of annuity with payments made at the beginning of each period, rather than at the end, typically utilized in lease and loan agreements.

End-of-Period Payments

Payments made at the conclusion of a payment period, commonly used in the context of loans or leases.

Starting Immediately

Indicates that an action or process is to begin right away, without delay.

Perpetuity

A type of financial asset that generates a never-ending stream of cash flows or payments with no expiration date.