# math

How do I do this? Without a calculator, determine two angles between 0 degrees and 360 degrees that have a cosine of negative square root 3 over 2.

1. 👍
2. 👎
3. 👁
1. 30, 60, 90 triangle
1, sqrt 3, 2

sin 30 = 1/2
cos 30 = sqrt 3/2

cos is negative in quad 2 and quad 3
so
180 - 30 = 150 degrees
180 + 30 = 210 degrees

1. 👍
2. 👎

## Similar Questions

1. ### Geometry

Two straight lengths of wire are placed on the ground, forming vertical angles. If the measure of one angles formed is 72 degrees, what are the measures of the other three angles. Explain your answer. My answer-- Vertical angles

2. ### geometry

Which of the following statements are false? a. vertical angles are congruent b. angles with measures between 0 degrees and 90 degrees are complementary*** c. straight angles are supplementary**** d. angles with measures between

3. ### Geometry Check please

Is the following definition of complementary angles reversible? If yes, write it as a true biconditional Complementary angles are two angles whose sum measures to 90 degrees - The statement is not reversible - Yes, if angles are

4. ### Geometry

A right triangle has exterior angles at each of its acute angles with measures in the ratio 13:14. Find the measure of the smallest interior angle of the triangle. 40 (degrees) 50 (degrees) 130 (degrees) 140 (degrees) Please help?

1. ### geometry

Three of the exterior angles of an n-sided polygon are 50 degrees each, two of its interior angles are 127 degrees and 135 degrees, and the remaining interior angles are 173 degrees each. Find the value of n.

2. ### Math

Determine each tangent ratio to four decimal places using a calculator. A) tan 74 degrees B) tan 45 degrees C) tan 60 degrees D) tan 89 degrees How do I figure this out !?

3. ### ALGEBRA 1

If x and 3x-10 represent the measure of the acute angles of a right tringle find the value of x. THANKS Let's take it step by step. A triangle has 3 angles in it. Those three angles, when added together, is 180. In a right

4. ### Math

Which statement is always true about a parallelogram? A. It has 4 congruent sides B. It has 4 right angles. C. It has opposite angles that are congruent. D. The sum of any 3 angles is 360 Is it a?

1. ### math

can someone please answer these questions for me?: 1. if the measure of an interior angle of a regular pentagonis 108 degrees, then the angle sum of that regular pentagon must be: A. 120 degrees B. 360 degrees C. 540 degrees D.

2. ### Math

Given the following function, choose the graph with the two possible angles with the domain 0 < or = to theta < or = to 360 degrees. Sec(theta)= -13/5

3. ### Math

For each of the following angles, find a coterminal angle with measure (theta symbol) such that 0 degrees is greater than or equal to omega symbol < 360 degrees. a) -100 degrees. I really do not understand how to work this problem

4. ### geometry

The supplementary angles are supplementary angles. Determine the measures of angle 1 and angle 2. angle 2=x angle 1 = 5x+6 This is what i came up with.