Find the value of \cos240°.

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)

The prism has a cross-sectional area in the shape of a sector. Calculate: a. the radius rr cm,
b. the cross-sectional area of the prism,
c. the total surface area of the prism,
d. the volume of the prism

In quadrant I, drawn a right triangle with one leg on the x-axis and its hypotenuse on the terminal side of drawn in standard position. If $\sin =\frac{7}{25}$, then what is the value of $\theta$?

‘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 $\mathrm{\angle }CAB,\mathrm{\angle }ABC,\mathrm{\angle }BCA$