Applying and analysing trigonometric functions

Arccos (-√3/2)

• 5π/6
• 7π/4
• -√3/2
• -5π/6

Tags

CCSS.HSF.TF.B.7

Solve the trigonometric equation below, exact answers only, for

 $0\le x<2\pi$  (This means RADIANS):

 $\cos x=\frac{1}{2}$  

•  $x=\frac{\pi}{3},\frac{5\pi}{6},\frac{5\pi}{3}$  

•  $x=\frac{\pi}{3},\frac{5\pi}{3}$  

•  $x=\frac{\pi}{3},\frac{7\pi}{6}$  

•  $No\ Solution$  

Tags

CCSS.HSF.TF.B.7

Tags

CCSS.HSF.TF.B.7

Sin^-1[cosπ]

• 0
• π
• π/2
• -π/2

Tags

CCSS.HSF.TF.B.7

Answer explanation

It has to fall within the cosine range and in the 1st or 2nd quadrants.

Tags

CCSS.HSF.TF.B.7

Which inverse trigonometric function should be used to calculate the angle a from the red ship in a game to the green ship?

• Inverse Cos

• Inverse Sin

• Inverse Tan

• Inverse angle

Tags

CCSS.HSF.TF.B.7

Answer explanation

The answer to be within the range and has to be in the 1st or 4th quadrant.

Tags

CCSS.HSF.TF.B.7

Solve the trigonometric equation below, exact answers only, for

 $0\le x<2\pi$  (This means RADIANS):

 $\tan x=-\frac{\sqrt{3}}{3}$  

•  $x=\frac{\pi}{3}$  

•  $x=\frac{5\pi}{6},\frac{4\pi}{3},\frac{11\pi}{6}$  

•  $x=\frac{5\pi}{6},\frac{11\pi}{6}$  

•  $x=\frac{\pi}{3},\frac{5\pi}{6},\frac{4\pi}{3},\frac{11\pi}{6}$  

Tags

CCSS.HSF.TF.B.7

Solve for 0≤x≤2π

(cotx - √3) (cscx + 2)

• π/6

• 5π/6

• 7π/6

• 11π/6

Tags

CCSS.HSF.TF.B.7

 $Solve\ \ \ \ \tan25\degree=\frac{x}{15}$  

• 6.9946

• 69.946

• .69946

• 6.09946

Tags

CCSS.HSF.TF.B.7