Trigonometry Examples

$\sin (70) \tan (70) \cos (70)$

Step 1

Rewrite $\tan (70)$ in terms of sines and cosines.

$\sin (70) \frac{\sin (70)}{\cos (70)} \cos (70)$

Step 2

Multiply $\sin (70) \frac{\sin (70)}{\cos (70)}$ .

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Step 2.1

Combine $\sin (70)$ and $\frac{\sin (70)}{\cos (70)}$ .

$\frac{\sin (70) \sin (70)}{\cos (70)} \cos (70)$

Step 2.2

Raise $\sin (70)$ to the power of $1$ .

$\frac{\sin^{1} (70) \sin (70)}{\cos (70)} \cos (70)$

Step 2.3

Raise $\sin (70)$ to the power of $1$ .

$\frac{\sin^{1} (70) \sin^{1} (70)}{\cos (70)} \cos (70)$

Step 2.4

Use the power rule $a^{m} a^{n} = a^{m + n}$ to combine exponents.

$\frac{{\sin (70)}^{1 + 1}}{\cos (70)} \cos (70)$

Step 2.5

Add $1$ and $1$ .

$\frac{\sin^{2} (70)}{\cos (70)} \cos (70)$

Step 3

Cancel the common factor of $\cos (70)$ .

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Step 3.1

Cancel the common factor.

$\frac{\sin^{2} (70)}{\cos (70)} \cos (70)$

Step 3.2

Rewrite the expression.

$\sin^{2} (70)$

Step 4

The result can be shown in multiple forms.

Exact Form:

$\sin^{2} (70)$

Decimal Form:

$0.88302222 \dots$