Use a Sum or Difference Identity to Find the Exact $\cos 36 ^ { \circ } = \frac { \sqrt { 5 } + 1 } { 4 }$

Use a sum or difference identity to find the exact value.
-Use the exact value $\cos 36 ^ { \circ } = \frac { \sqrt { 5 } + 1 } { 4 }$ and identities to find the exact value of $\sin 36 ^ { \circ }$ .

A) $\frac { ( \sqrt { 10 + 2 \sqrt { 5 } } ) ( 10 - 2 \sqrt { 5 } ) } { 5 }$
B) $\sqrt { 5 } + 1$
C) $\frac { \sqrt { 10 - 2 \sqrt { 5 } } } { 4 }$
D) $\frac { \sqrt { 10 - 2 \sqrt { 5 } } } { 8 }$

Correct Answer:

Verified

Unlock this answer now
Get Access to more Verified Answers free of charge

Access For Free