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# Precalculus Trigonometry Unit Exam

Created by
@GracefulFortWorth

### Convert $120^ ext{o}$ to radians.

$120^ ext{o} = 2rac{2}{3} \pi$

### Convert $3rac{ ext{pi}}{4}$ to degrees.

$3rac{ ext{pi}}{4} = 135^ ext{o}$

### Identify the sine and cosine values for $60^ ext{o}$ on the unit circle.

For $60^ ext{o}$, $ext{sin}(60^ ext{o}) = rac{ ext{sqrt}(3)}{2}$ and $ext{cos}(60^ ext{o}) = rac{1}{2}$

### If in a right triangle, the opposite side is 4 and the hypotenuse is 5, find the sine of the angle opposite the side of length 4.

<p>$ext{sin}( heta) = rac{4}{5}$</p> Signup and view all the answers

### Using the Law of Sines, if $a=3$, $b=4$, and angle $A=30^ ext{o}$, find angle $B$ in a triangle.

<p>Angle $B hickapprox 51.06^ ext{o}$</p> Signup and view all the answers

### Convert $45^{ ext{o}}$ to radians.

<p>$rac{ ext{ ext{pi}}}{4}$</p> Signup and view all the answers

### Identify the cosine value for $90^{ ext{o}}$ on the unit circle.

<p>0</p> Signup and view all the answers

### If in a right triangle, the adjacent side is 6 and the hypotenuse is 10, find the cosine of the angle adjacent to the side of length 6.

<p>0.6</p> Signup and view all the answers

### Write the equation of a sine graph with an amplitude of 2, period of $2 ext{ ext{pi}}$, phase shift of $rac{ ext{ ext{pi}}}{2}$, and midline at $y=3$.

<p>$y = 2 ext{sin}(x - rac{ ext{pi}}{2}) + 3$</p> Signup and view all the answers

### Apply the Law of Sines to solve a triangle with side lengths $a=8$, $b=10$, and $c=6$.

<p>No solution</p> Signup and view all the answers

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