Lesson 10

• Angle is formed by rotating a ray about its end point.
• Angle is said to be positive if the ray rotates in a counterclockwise direction.
• Angle is said to be negative if the ray rotates in a clockwise direction.
• Seconds to degree: Divide
• Degree to seconds: Multiply
• One minute, written 1'
• One second, written 1''
• Coterminal Angles are two angles in standard position that have a common terminal side.
• In a circle, a central angle whose radian measure is theta subtends an arc that is the fraction theta/2(pi) of the circumference of the circle. True or false?

  True
• Sector of a circle is the portion of the interior of a circle bounded by the initial and terminal sides of a central angle and its intercepted arc.
• Sector of a circle has the notion of: It's like a slice of pizza.
• In finding the value of a circular function at a number, we cannot always reduce to a number between 0 and 2pi. True or false?

  False
• Reference Angle is the theta 1
• Q1 = (x1, y1)
• Q2 = (-x1, y1)
• Q3 = (-x1, -y1)
• Q4 = (x1, -y1)
• The sign of the coordinates of P depends on the quadrant or axis where it terminates. True or false?

  True.
• Q1; All circular functions are positive
• Q2: Only since and cosecant function are positive.
• Q3: Only tangent and cotangent functions are positive.
• Q4: Only cosine and secant functions are negative.
• The domain of each of the six trigonometric function is the set of angles in standard position.
• The angles are measured in degrees only. True or false?

  False. The angles are measured either in degrees or radians
• sin = y, y/r
• cos = x, x/r
• tan = y/x, y/x
• csc = 1/y, r/y
• sec = 1/x, r/x
• cot = x/y, x/y