Trigonemetry unit in Algebra 2

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sec 45°

√2

cos 45°

√2/2

sin 45°

√2/2

cot 30°

√3

tan 60°

√3

cos 30°

√3/2

sin 60°

√3/2

cot 60°

√3/3

tan 30°

√3/3

What does SOHCAHTOA stand for

SOH: sin is opposite over hypotenuse CAH: cos in adjacent overhypotenuse TOA: tan is opposite over adjacent

What is the sin and cosine of this coordinate based on the unit circle? (sqaure root3/2, -1/2)

sin:-1/2 cos: square root3/2

How do you find the midline of a sin graph?

(highest point - lowest point)/2

What is a reference angle?

The reference angle always has to go back to the x-axis and it is ALWAYS positive. To find the angle you have to subtract the larger number(x-axis number or angle/radian) to find the reference angle.

What is a coterminal angle?

angles that share the same initial angle by adding or subtracting 360 or 2pi. The angles or radians should be at the same spot on the graph

csc 45°

√2

cot 45°

1

tan 45°

1

cos 60°

1/2

sin 30°

1/2

convert 3pi/4 to degrees

135

csc 30°

2

sec 60°

2

How do you find the period of a cos or sin graph when given the equation?

2pi/b value

how do you fund the b value for a sin or cos graph?

2pi/period of graph

csc 60°

2√3/3

sec 30°

2√3/3

what is the reference angle of 310?

360-310=50 reference angle is 50

what is the reference angle of 2pi/3?

3pi/3-2pi/3=pi/3 reference angle is pi/3 (pi is equal to 180 degrees. You need a common denomorator to subtract)

convrert 210 degrees to radian

7pi/6

Is the cosine of a unit circle the x or y coordinate?

x-coordinate

what is the basic eqaution for a sin or cos graph?

y=a sin[b(x-c)] y=a cos[b(x-c)]


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