Applying and analysing trigonometric functions

Arccos (-√3/2)

• 5π/6
• 7π/4
• -√3/2
• -5π/6

Solve the trigonometric equation below, exact answers only, for

 $0\le x<2\pi$  (This means RADIANS):

 $\cos x=\frac{1}{2}$  

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

•  $x=\frac{\pi}{3},\frac{5\pi}{3}$  

•  $x=\frac{\pi}{3},\frac{7\pi}{6}$  

•  $No\ Solution$  

Sin^-1[cosπ]

• 0
• π
• π/2
• -π/2

Answer explanation

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

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

Answer explanation

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

Solve the trigonometric equation below, exact answers only, for

 $0\le x<2\pi$  (This means RADIANS):

 $\tan x=-\frac{\sqrt{3}}{3}$  

•  $x=\frac{\pi}{3}$  

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

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

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

Solve for 0≤x≤2π

(cotx - √3) (cscx + 2)

• π/6

• 5π/6

• 7π/6

• 11π/6

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

• 6.9946

• 69.946

• .69946

• 6.09946