SOLUTION: Use a half - angle identity to find the exact value of each expression. 5) tan 45° 6) sin 165° 7) sin 5π —

SOLUTION: Use a half - angle identity to find the exact value of each expression. 5) tan 45° 6) sin 165° 7) sin 5π —— 6 8.) cos 30°

Question 1194933: Use a half - angle identity to find the exact value of each expression.
5) tan 45°
6) sin 165°
7) sin 5π
——
6
8.) cos 30°

Found 2 solutions by ikleyn, MathLover1:
Answer by ikleyn(52776)   (Show Source): You can put this solution on YOUR website!
.

(5) tan(45°) = 1. It is a table value, which means that any/every/each student must know the answer from the table, without applying half-angle identity or any other identity. (7) sin(5π) = 0. Every student must know it without applying half-angle identity or any other identity. (8) cos(30°) = . It is a table value, which means that any/every/each student must know the answer from the table, without applying half-angle identity or any other identity.

May I complete this post by joking ?

        To deduce / (to derive) the values of given angles using half-angle formulas
        is the same as to deduce multiplication table from the driving rules.

Answer by MathLover1(20849)   (Show Source): You can put this solution on YOUR website!

Use a half - angle identity to find the exact value of each expression.
so, identities you need are:

5)
° =>°
........,

6) °
° =>

7)

=>

8. °
=>

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