Coterminal Angles, Unit Circle Chapter 2

Coterminal Angles

Find 3 angles coterminal to the following: a)34° a)123° b)-279° c)-106°

Coterminal Angles Find the smallest posititve angle coterminal to the following: a)623° a)1023° b)-279° c)-106°

Given the initial position of the dial is at zero, how many degrees is the dial rotated in total(sum of clockwise and counterclockwise rotations) to open the lock if the combination is °

Quadrants

These function are always positive in these quadrants.

Quadrants A better way to remember which functions are positive. Seniors Take Civics

Find all 6 trig function values given Cos θ =-5/13 in Quadrant II

Find all 6 trig function values with the given information. a)Sin θ = 3/5 in QII b)Cos θ = ¼ in QIV c)Sec θ = 5/3 in QI d)Cot θ = 7/3 in QIII

TEAMS P 50……..#’s 4,6,8,16,18

Cofunctions

 Find the cofunction for Sin 43°

Find the value of each cofunction. a)Sin 72° b)Csc 24° c)Cot 71° d)Cos( θ – 42°)

True or False  Is Cos 32° < Sin 56°

From 0° to 90° Sin,Sec,Tan Increase Cos,Csc,Cot Decrease Cos0° = 1 Sin0° =0 Cos90° = 0 Sin90° =1

True or False  Determine whether the following are True or False? A) Sin 43° > Cos 29° B) Cot 21° < Tan 82° C) Sec 73° > Csc 27°  Determine whether the following are True or False? A) Sin 43° > Cos 29° B) Cot 21° < Tan 82° C) Sec 73° > Csc 27°

TEAMS P 68……#’s 10,12,18,24,28

Unit Circle These are the angles we care about most in Trigonometry.

Unit Circle

Find all 6 trig function values at 60 degrees.

Find all 6 trig function values at 90 degrees.

Reference Angles Find all 6 trigonometric function values at 240 degrees.

Reference Angles Find all 6 trigonometric function values at each of the following angles. a)180° b)300° c)135° Find your reference angle first!

Negative Angle Measures Find all 6 trigonometric function values at -120 degrees.

Negative Angle Measures Find all 6 trigonometric function values at -30 degrees.

Coterminal Angle Measures Find all 6 trigonometric function values at 1020 degrees.

Trigonmetric Functions  Find all 6 trig functions at the given angle. Find the reference angle, draw the angle a)315° b)-135° c)-270° d)510° e)-300°

TEAMS P 88……#’s 12,14,24,26,30

Evaluate the following cos60° + 2sin 2 30°

Evaluate the following a)tan 2 120° – 2cot240° b)Sec 2 300° - 2cos 2 150° + tan45° c)3tan135° + 4cos(-180°) – 2csc270°

Evaluate the following a)cot45° – 2sec300° b)sec 2 300° - 2sin 2 150° + tan(-45°) c)3tan135° + 4sec(-180°) – 2cos270° d)sin300° - 2sin240° + sin 2 (-120°)