Solving Trig functions Quiz

Solve the trigonometric function on the interval 0 ≤ θ < 2π

2 sin ² θ - 1 = 0

• θ = 0, π/2, π, 3π/2, 2π

• θ = π/4, 3π/4 , 5π/4 , 7π/4

• θ = 0, π , 2π

• θ = π/3, 5π/3

Tags

CCSS.HSF.TF.B.7

Solve the trigonometric function on the interval 0 ≤ θ < 2π

2cos² θ + 9cosθ - 5 = 0

• θ = 0, π/2, π, 3π/2, 2π

• θ = π/4, 3π/4 , 5π/4 , 7π/4

• θ = 0, π , 2π

• θ = π/3, 5π/3

Tags

CCSS.HSF.TF.B.7

 $\frac{\tan45^o+\tan30^o}{1-\tan45^o\tan30^o}$  is equivalent to

•  $\tan75^o$  

•  $\tan\ 15^o$  

•  $\frac{\sin45^o}{\cos30^o}$  

•  $\tan90^{o\ }$  

Tags

CCSS.HSF.TF.C.9

Use sum or difference angles identity to find the exact value for       $\sin\ \left(-15^o\right)$  

•  $\frac{\sqrt{6}+\sqrt{2}}{4}$  

•  $\frac{\sqrt{6}-\sqrt{2}}{4}$  

•  $\frac{\sqrt{2}-\sqrt{6}}{4}$  

•  $-\frac{\sqrt{3}}{2}$  

Tags

CCSS.HSF.TF.C.9

Given  $\sin x=\frac{3}{5}and\ \sin y=\frac{2}{3},$  where  $x\ and\ y$  are both in first quadrant.   $Evaluate\ \sin\left(x+y\right)$  

•  $\frac{3\sqrt{5}+8}{15}$  

•  $\frac{4\sqrt{5}+6}{15}$  

•  $\frac{2\sqrt{5}+12}{15}$  

•  $\frac{4\sqrt{5}+2}{5}$  

Tags

CCSS.HSF.TF.C.9

Write the following expression as the sine, cosine, or tangent of an angle.
cos(175)cos(55)+sin(175)sin(55)

• sin(120)
• cos(120)
• cos(230)
• sin(230)

Tags

CCSS.HSF.TF.C.9

Which of the following is NOT
a solution to
sin θ = √(3) / 2 ?

• π / 3
• 2π / 3
• 5π / 3
• 7π / 3

Tags

CCSS.HSF.TF.B.7