Still have math questions?

Ask our expert tutors
Trigonometry
Question

EXAMPLE \(2\) Evaluating Trigonometric Functions o...

EXAMPLE \(2\) Evaluating Trigonometric Functions of \(45 ^ { \circ }\) 

Find the values of \(\sin 45 ^ { \circ } , \cos 45 ^ { \circ }\) , and \(\tan 45 ^ { \circ }\) . 

Answer

 

\(\sin ( 45 ^ { \circ } ) = \frac { \sqrt { 2 } } { 2 } ( \) Decimal: \( 0.70710 \ldots ) \) 

Steps 

\( \sin ( 45 ^ { \circ } ) \) 

Use the following trivial identity: \( \sin ( 45 ^ { \circ } ) = \frac { \sqrt { 2 } } { 2 } \) 

\( = \frac { \sqrt { 2 } } { 2 }\) \(\cos ( 45 ^ { \circ } ) = \frac { \sqrt { 2 } } { 2 } ( \) Decimal: \( 0.70710 \ldots ) \) 

Steps 

\( \cos ( 45 ^ { \circ } ) \) 

Use the following trivial identity: \( \cos ( 45 ^ { \circ } ) = \frac { \sqrt { 2 } } { 2 } \) 

\( = \frac { \sqrt { 2 } } { 2 }\) \(\tan ( 45 ^ { \circ } ) = 1 \) 

StepS 

\( \tan ( 45 ^ { \circ } ) \) 

Use the following trivial identity: \( \tan ( 45 ^ { \circ } ) = 1 \) 

\( = 1\) 

Solution
View full explanation on CameraMath App.