Trigonometry Examples

$7 \cot (270) + 5 \csc (90) + 5 \cos^{2} (0)$

Step 1

Simplify each term.

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Step 1.1

Apply the reference angle by finding the angle with equivalent trig values in the first quadrant.

$7 \cot (90) + 5 \csc (90) + 5 \cos^{2} (0)$

Step 1.2

The exact value of $\cot (90)$ is $0$ .

$7 \cdot 0 + 5 \csc (90) + 5 \cos^{2} (0)$

Step 1.3

Multiply $7$ by $0$ .

$0 + 5 \csc (90) + 5 \cos^{2} (0)$

Step 1.4

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

$0 + 5 \cdot 1 + 5 \cos^{2} (0)$

Step 1.5

Multiply $5$ by $1$ .

$0 + 5 + 5 \cos^{2} (0)$

Step 1.6

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

$0 + 5 + 5 \cdot 1^{2}$

Step 1.7

One to any power is one.

$0 + 5 + 5 \cdot 1$

Step 1.8

Multiply $5$ by $1$ .

$0 + 5 + 5$

Step 2

Simplify by adding numbers.

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Step 2.1

Add $0$ and $5$ .

$5 + 5$

Step 2.2

Add $5$ and $5$ .

$10$