144° If the terminal side of an angle, θ, passes through the point P(-2, 6) determine the numerical value of sec θ.

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Presentation transcript:

144°

If the terminal side of an angle, θ, passes through the point P(-2, 6) determine the numerical value of sec θ.

-2 6

440°

Let O be the origin of the coordinate plane. Let C be a point on the terminal side of an angle in standard position with a measure of 240 ∘. If OC = 3, what are the coordinates of C?

(-1.5, )

An angle is in standard position. If the angle’s terminal side is rotated one-third of a complete counter-clockwise rotation its measure is….

143°

ClockwiseCounter-Clockwise 143°-360°=-217° 143°+360°=503°

A 25-foot-tall ladder is leaning against a tall building. The base of the ladder is placed at an angle of 73° with the ground. How far away from the wall is the ladder?

A 25-foot-tall ladder is leaning against a tall building. The base of the ladder is placed at an angle of 73° with the ground. How far away from the wall is the ladder?

An angle θ in standard position has a measure of 309°. O is the origin, and point P is a point on the terminal side of θ. If OP = 16, the coordinates of point P, rounded to the nearest thousandth, are…

(10.069, )

Θ =144°

The second hand of a clock is 6 inches long. How far does the tip of the second hand travel in 23 minutes?

If the terminal side of an angle, θ, passes through the point P(-3, 9), and O is the origin, determine the length of OP.

If the terminal side of an angle, θ, passes through the point P(-3, 9) and O is the origin, determine the length of OP.

Determine the cosine of the angle given that (5,-3) lies on the terminal side of θ and θ is in standard position.

Determine the cosine of the angle given that (5,-3) lies on the terminal side of θ and θ is in standard position.

The terminal side of -137° is in which quadrant?

Quadrant III

(-5.829, 9.329)

The radian measure of an angle in standard position that represents one and five-sixths complete clockwise rotations is…

An angle between 0 and 2 π that is coterminal with 960° is

240°

The second hand of a clock is 6 inches long. How many degrees does the second hand rotate in 23 minutes?

23 minutes = 23 full revolutions for the second hand 23(360°) = 8280°