Which of the following graphs represents the angle in standard position?

csc, cot, sin, tan See the attached file.

Trigonometry Word Problems : Radius and Circumference of the Earth

Please see the attached file. 1 The engine of a sport car rotates at 5,000 revolutions per minute (rpm). Calculate the angular speed of the engine in radians per second. 2 We will redo Eratosthenes’s famous calculations of the measurements of the Earth that he made in 236 BC. There are two cities on the surface of the Ear ...continues

Basic Trigonometry

Please see the attached files for the fully formatted problems.

Angles, Systems of Equations and Gaussian Elimination

Two angles are supplementary of each other. Twice one angle is equal to the other angle minus the product of six and eight. A. Set up a system of linear equations to represent the two angles. (Hint: You will need two equations and two unknowns.) B. Graph each of the equations on one rectangular coordinate system. (Hint: ...continues

Tangent circles and external tangent line of two circles

Circle O and circle P are externally tangent circles. Circle O is tangent to circle P at T, OT = 12, TP = 6. AB is a common external tangent line to both circles. Find AB.

Congruent Circles in an Equilateral Triangle

3 congruent circles with radius 5 are tangent to each other. The circles are enclosed in an equilateral triangle. What it the perimeter of the triangle?

Equilateral triangle and octagon inscribed in circles.

1) An equilateral triangle with sides of length 10 is inscribed in a circle. Find the distance from the center of the circle to any side of the triangle. 2) A regular octagon is inscribed in a circle of radius 12cm. Find a) the side length and b) the distance from center of the circle to a side.

Pythagorean Theorem

There are more than 50 ways to prove the Pythagorean theorem. Using the Library, web resources, and other course materials, choose a proof of the theorem that you understand and describe it to the class. Then create a real-world application problem that can be solved by using the Pythagorean theorem. Make sure to include the que ...continues

Tangent circles and external common tangent line of two circles

Circle O and circle P are externally tangent circles. Circle O is tangent to circle P at T, OT = 12, TP = 6. AB is a common external tangent line to both circles. Find AB.

Parallel line and Angles - Formal Proof

Please see the attached file for the complete question.