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Example1

Title: Trigonometry

Grade Lesson s5-p1

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 Example2

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 positive in the second 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\$ = \$-\sqrt3/2\$

Therefore, sin \$(5pi)/6\$ = \$ 1/2\$ and

cos \$(5pi)/6\$ = \$-\sqrt3/2\$.

Explanation:

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