Solving Trigonometric Equations

Practice Questions

High School Math › Solving Trigonometric Equations

Questions

5

1

In a right triangle, if

$cos(x)=\frac{3}{5}$

and

$cos(y)=\frac{4}{5}$

then what does $\tan(x)$ equal?

2

A right triangle has an angle of $41^\circ$ . If the side opposite it has a length of , what is the hypotenuse?

3

If $tanx=\frac{1}{3}$ , find $f(x)=\frac{sin(3\pi +x)+sin(x-\frac{\pi }{2})}{cos(x-\pi )+cos(\frac{3\pi }{2}+x)}$ .

4

A right triangle has an angle of $72^\circ$ . If the side adjacent to it has a length of , what is the hypotenuse?

5

If $sinx-cosx=\frac{1}{3}$ , find the value of the function $f(x)=sin^{3}x+cos^{3}x$ .

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