Find the solution sin Y = cos ( Y + 20° )

Find the point on the line $y=5x+3$ that is closet to the origin.

Match each of the trigonometric expressions below with the equivalent non-trigonometric function from the following list. Enter the appropriate letter(A,B, C, D or E)in each blank
A . ${\displaystyle \tan \left(\arcsin \left(\frac{x}{8}\right)\right)}$
B . ${\displaystyle \cos \left(ar\sin \left(\frac{x}{8}\right)\right)}$
C. ${\displaystyle \left(\frac{1}{2}\right)\sin \left(2\arcsin \left(\frac{x}{8}\right)\right)}$
D. ${\displaystyle \sin \left(\arctan \left(\frac{x}{8}\right)\right)}$
E. ${\displaystyle \cos \left(\arctan \left(\frac{x}{8}\right)\right)}$

Find an equation of the plane. The plane through the points (2, 1, 2), (3, −8, 6), and (−2, −3, 1)

Suppose that you are headed toward a plateau 50 meters high. If the angle of elevation to the top of the plateau is ${60}^{\circ }$, how far are you from the base of the plateau?

${\displaystyle \cos \theta =\frac{9}{13}}$
${\displaystyle \sin \theta <0}$
1. ${\displaystyle \sin \theta =?}$
2. ${\displaystyle \tan \theta =?}$
3. ${\displaystyle \csc \theta =?}$
4. ${\displaystyle \sec \theta =?}$
5. ${\displaystyle \cot \theta =?}$

‘Rewrite the Jofinition “An equilateral triangle has three sides vrite the definihon fv, biconditional.

Find, correct to the nearest degree, the three angles of the triangle with the given vertices.
A(1,0,-1), B(5,-3,0), C(1,5,2)
Find ${\displaystyle \mathrm{\angle }CAB,\mathrm{\angle }ABC,\mathrm{\angle }BCA}$