Trigonometry Examples

$2 \tan (180) + 8 \cos (0) + 4 \sin^{2} (90)$

Step 1

Apply the reference angle by finding the angle with equivalent trig values in the first quadrant. Make the expression negative because tangent is negative in the second quadrant.

$2 (- \tan (0)) + 8 \cos (0) + 4 \sin^{2} (90)$

Step 2

The exact value of $\tan (0)$ is $0$ .

$2 (- 0) + 8 \cos (0) + 4 \sin^{2} (90)$

Step 3

Multiply $2 (- 0)$ .

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Step 3.1

Multiply $- 1$ by $0$ .

$2 \cdot 0 + 8 \cos (0) + 4 \sin^{2} (90)$

Step 3.2

Multiply $2$ by $0$ .

$0 + 8 \cos (0) + 4 \sin^{2} (90)$

Step 4

The exact value of $\cos (0)$ is $1$ .

$0 + 8 \cdot 1 + 4 \sin^{2} (90)$

Step 5

Multiply $8$ by $1$ .

$0 + 8 + 4 \sin^{2} (90)$

Step 6

The exact value of $\sin (90)$ is $1$ .

$0 + 8 + 4 \cdot 1^{2}$

Step 7

One to any power is one.

$0 + 8 + 4 \cdot 1$

Step 8

Multiply $4$ by $1$ .

$0 + 8 + 4$

Step 9

Add $0$ and $8$ .

$8 + 4$

Step 10

Add $8$ and $4$ .

$12$