Solving Trigonometric Equations

What is the exact value of  $\sin30\degree$ ? 

• 1/2

• √3 / 2

• 1 / √3

• 1 / √2

What is the exact value of  $\cos60\degree$ ?

• 1 / 2

• √3 / 2

• 1 / √3

• 1 / √2

What is the exact value of  $\cos30\degree$ ? 

• 1/2

• √3 / 2

• 1 / √3

• 1 / √2

 $\cos45\degree=$  
[Time of Video: 01:30-02:40]

• $\frac{\sqrt{2}}{2}$

• $\sqrt{2}$

• 1

• $\frac{1}{2}$

 $\tan45\degree=$  
[Time of Video: 01:30-02:40]

• $\frac{\sqrt{2}}{2}$

• $\sqrt{2}$

• 1

• $\frac{1}{2}$

Find the value of

• √3/3

• √3

• 1

• undefined

cos 5π/6

• -1/2
• 1/2
• √3/2
• -√3/2

Tags

CCSS.HSF.TF.A.1

CCSS.HSF.TF.A.2

CCSS.HSF.TF.A.3

CCSS.HSF.TF.A.4

 $Solve\ \sin x=\frac{1}{2}\ for\ 0\le x\le360\degree$  

•  $30\degree$  ,  $330\degree$  
  

•  $30\degree,150\degree$  
  

•  $60\degree,120\degree$  

•  $60\degree,300\degree$  
  

Solve for 0≤x≤2π

2sin²x - 5sinx + 2 = 0

• π/6, 5π/6

• 7π/6, 11π/6

• π/3, 2π/3

• 4π/3, 5π/3

Tags

CCSS.HSA.APR.B.3

CCSS.HSA.CED.A.1

CCSS.HSA.REI.B.4

Which of the following is the solution of sin²x + cos²x = 2?

• 0

• π/4

• π/6

• no solution