Use Identities to Solve Trigonometric Equations
Solve the Equation on the Interval

Multiple Choice

Use Identities to Solve Trigonometric Equations
Solve the equation on the interval [0, 2π) .
- $\sin \left( x + \frac { 5 \pi } { 4 } \right) + \sin \left( x - \frac { 5 \pi } { 4 } \right) = 1$

A) $\frac { 5 \pi } { 4 } , \frac { 7 \pi } { 4 }$
B) $\frac { 3 \pi } { 2 } , 3 \pi$
C) $\frac { 3 \pi } { 4 } , \frac { 5 \pi } { 6 }$
D) $\frac { 5 \pi } { 4 } , \frac { 5 \pi } { 6 }$