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Example1

Title: Trigonometry function ( sine, cosine, tangent)

Grade Lesson s5-l1

Explanation: The best way to understand SAT-4 is by looking at some examples. Take turns and read each example for easy understanding.

Examples

Topics → Definition Example1

Find the exact values of sin\$((5pi)/6)\$ and cos \$((5pi)/6)\$.

Step: 1

Identify the angle measure: In this case, the angle measure is \$(5pi)/6\$.

Identify the trigonometric functions: The trigonometric functions given are sin and cos.

Recall the values of trigonometric functions for common angles:

For \$(5pi)/6\$, we need to use the reference angle \$pi/6\$, and the fact that sine is negative in the third quadrant while cosine is negative in the second quadrant. So, sin \$(5pi)/6\$ = - sin \$pi/6\$ = \$-1/2\$.

and cos \$(5pi)/6\$ = - cos \$pi/6\$ = \$-\sqrt(3)/2\$.

Therefore, sin \$(5pi)/6\$= \$-1/2\$ and cos \$(5pi)/6\$= \$-\sqrt(3)/2\$.

Explanation:

Here, identify the angle and trigonometric function, then find sin\$((5π)/6) = -1/2\$ and \$cos((5π)/6 )= -\sqrt(3)/2\$.