Sine, Cosine, and Tangent of Unit Circle

In which quadrants is the sine function positive?

• 1

• 1,2

• 2,3

• All

Tags

CCSS.HSF.TF.A.2

In which quadrants is the cosine function positive?

• 1,2

• 2,3

• 3,4

• 1,4

Tags

CCSS.HSF.TF.A.2

State a Pythagorean Identity

• a²+b²=c²

• sin²x+cos²x=1

• tan x=sin/cos

• sin x =1/cosx

Tags

CCSS.HSF.TF.C.8

The cosine of an acute angle in a triangle is the ratio of which two of its sides?

• opposite/adjacent

• adjacent/hypotenuse

• opposite/hypotenuse

• hypotenuse/adjacent

Tags

CCSS.HSG.SRT.C.6

Unlike right triangle trigonometry, sine and cosine may be negative. Thinking about how sine, cosine, and tangent relate to (x,y) coordinate pairs on the unit circle, find the quadrants where: sine is positive: ​ (a)   ​& (b)   sine is negative: ​ ​ (c)   &​ (d)  

• I

• II

• III

• IV

Tags

CCSS.HSF.TF.A.2

Unlike right triangle trigonometry, sine and cosine may be negative. Thinking about how sine, cosine, and tangent relate to (x,y) coordinate pairs on the unit circle, find the quadrants where: cosine is positive: ​ (a)   ​& (b)   cosine is negative: ​ ​ (c)   &​ (d)  

• I

• IV

• II

• III

Tags

CCSS.HSF.TF.A.2

Unlike right triangle trigonometry, sine and cosine may be negative. Thinking about how sine, cosine, and tangent relate to (x,y) coordinate pairs on the unit circle, find the quadrants where: tangent is positive: ​ (a)   ​& (b)   tangent is negative: ​ ​ (c)   &​ (d)   ​

• I

• III

• II

• IV

Tags

CCSS.HSF.TF.A.2

What is the angle measure, in degrees, at the red marking on the unit circle?

• 30°

• 45°

• 60°

• 90°

Tags

CCSS.5.G.A.1

Based on the unit circle, what is the value of cos?

• y

• x

• x/y

• y/x

Tags

CCSS.HSF.TF.A.2

Based on the unit circle, what is the value of tan?

• y/r

• x/r

• r/y

• y/x

Tags

CCSS.HSF.TF.A.2