CAST & Primary Trig Ratios

What is the form of Pythagorean Theorem used in Trig?

• $a^2+b^2=c^2$

• $x^2+y^2=r^2$

• $x^2+y^2=c^2$

• $r^2=y^2-x^2$

Tags

CCSS.HSG.SRT.C.8

Determine the exact distance, in simplest form, from the origin to the point A (-6, 12).

•  $13.416...$  

•  $36\sqrt{5}$  

•  $\sqrt{180}$  

•  $6\sqrt{5}$  

Tags

CCSS.HSG.GPE.B.7

Which of the following are correct for use in Trig:

•  $\sin\theta=\frac{y}{r}$  

•  $\cos\theta=\frac{y}{x}$  

•  $\tan\theta=\frac{y}{x}$  

•  $\sin\theta=\frac{a}{h}$  

•  $\cos\ \theta=\frac{x}{r}$  

Tags

CCSS.HSG.SRT.C.6

Determine the primary trigonometric ratios, in simplified form, if the point (8,6) lies on the terminal arm of an angle X.

• $\sin X=\frac{4}{5},\ \cos\ X\ =\frac{3}{5},\ \tan\ X\ =\ \frac{3}{4}$

• $\sin\ X=\frac{3}{5},\ \cos\ X\ =\frac{4}{5},\ \tan\ X\ =\frac{3}{4}$

• $\sin\ X=\frac{3}{5},\ \cos\ X\ =\frac{4}{5},\ \tan\ X\ =\frac{4}{3}$

• $\sin\ X=\frac{4}{5},\ \cos\ X\ =\frac{3}{5},\ \tan\ X\ =\frac{4}{3}$

Tags

CCSS.HSG.SRT.C.6

Which of the following could be used to determine the sign of a trigonometric ratio?

• SACT

• CAST

• Add Sugar To Coffee

• Coffee Sugar Is Good

Tags

CCSS.HSF.TF.A.2

Without using technology determine which of the following would be negative:

• $\tan\ 312$

• $\cos\ 272$

• $\sin\ 87$

• $\sin\ 199$

Tags

CCSS.HSF.TF.A.2

Without using technology determine which of the following would be positive

•  $\sin\ 312$ 

•  $\tan\ 272$ 

•  $\cos\ 87$ 

•  $\tan\ 199$ 

Tags

CCSS.HSF.TF.A.2

Determine the same trigonometric function of the corresponding reference angle for

 $\cos\ 105$  

Tags

CCSS.HSF.TF.C.9

The point P(4, -8) lies on the terminal arm of an  $angle\ \theta$  in standard position. Determine which of the following trigonometric rations for  $angle\ \theta$  are correct: 

•  $\sin\ \theta=-\frac{2}{\sqrt{5}}$  

•  $\cos\ \theta=\frac{\sqrt{5}}{5}$  

•  $\sin\theta=-\frac{2\sqrt{5}}{5}$  

•  $\cos\ \theta=\frac{1}{\sqrt{5}}$  

Tags

CCSS.HSF.TF.A.2

Angle A terminates in quadrant three with $\cos\ A\ =\ -\frac{3}{5}$ .  Determine which of the following is correct.

•  $\sin\ A\ =\ \frac{4}{5}$  

•  $\sin\ A\ =\ -\frac{4}{5}$  

•  $\tan\ =\ -\frac{4}{3}$  

•  $\tan\ =\ \frac{3}{4}$  

Tags

CCSS.HSF.TF.C.8