Trigonometric equations with calculator

Trigonometric EQUATIONS with calculator

Multiple Choice

What's a UNIT CIRCLE?

• One full circle

• Circle with radius of 1

• Circle with diameter of 1

• Circle formed with angles of 1°

Multiple Choice

What's the ratio for SIN?

•  $\frac{hyp}{opp}$  

•  $\frac{opp}{hyp}$  

•  $\frac{adj}{hyp}$  

•  $\frac{opp}{adj}$  

•  $\frac{adj}{opp}$  

Multiple Choice

If  $\sin\ \theta=\frac{opp}{hyp}$  , what's the correct ratio (view the image)?

•  $\sin\ \theta=x$  

•  $\sin\ \theta=y$  

•  $\sin\ \theta=\frac{1}{y}$  

•  $\sin\ \theta=\frac{1}{x}$  

•  $\sin\ \theta=\frac{y}{x}$  

Multiple Choice

What's the ratio for COS?

•  $\frac{hyp}{opp}$  

•  $\frac{opp}{hyp}$  

•  $\frac{adj}{hyp}$  

•  $\frac{opp}{adj}$  

•  $\frac{adj}{opp}$  

Multiple Choice

If  $\cos\ \theta=\frac{adj}{hyp}$  , what's the correct ratio (view the image)?

•  $\cos\theta=x$  

•  $\cos\theta=y$  

•  $\cos\theta=\frac{1}{y}$  

•  $\cos\theta=\frac{1}{x}$  

•  $\cos\theta=\frac{y}{x}$  

Multiple Choice

What's the ratio for TAN?

•  $\frac{hyp}{opp}$  

•  $\frac{opp}{hyp}$  

•  $\frac{adj}{hyp}$  

•  $\frac{opp}{adj}$  

•  $\frac{adj}{opp}$  

Multiple Choice

If  $\tan\theta=\frac{opp}{adj}$  , what's the correct ratio (view the image)?

•  $\tan\theta=\frac{x}{y}$  

•  $\tan\theta=\frac{1}{y}$  

•  $\tan\theta=\frac{1}{x}$  

•  $\tan\theta=\frac{y}{x}$  

Multiple Select

Select all the quadrants where  $\cos\ \theta$  is NEGATIVE

• I

• II

• III

• IV

Multiple Select

Select all the quadrants where  $\tan\theta$  is POSITIVE

• I

• II

• III

• IV

Multiple Select

Select all the quadrants where  $\cos\theta=0.77$ 

• I

• II

• III

• IV

Multiple Select

Select all the quadrants where  $\tan\theta=-0.77$ 

• I

• II

• III

• IV

Fill in the Blanks

Type the answer of  $\sin^{-1}\left(-0.77\right)=$  

Type answer with 4 decimals

Fill in the Blanks

What would be the value of blue angle?

Type answer with 3 decimals

Fill in the Blanks

Type the answer of  $\cos^{-1}\left(-0.77\right)=$  

Type answer with 2 decimals

Fill in the Blanks

What would be the value of blue angle?

Type answer with 2 decimals

Fill in the Blanks

Type the answer of  $\tan^{-1}\left(-0.77\right)=$  

Type answer with 3 decimals

Fill in the Blanks

What would be the value of blue angle?

Type answer with 3 decimals

Fill in the Blanks

What would be the value of blue angle?

Type answer with 1 decimal

Fill in the Blanks

If  $\cos\theta=0.38$ ...

What's the value of  $\theta$  (reference angle)?

Type answer with 2 decimals

Multiple Select

Select all the quadrants where  $\cos\theta=0.38$ 

• I

• II

• III

• IV

Fill in the Blanks

In  $\cos\theta=0.38$ , the value of  $\theta=1.18$ .

What's the value of the angle in Quadrant IV.

Type answer with 2 decimals

Fill in the Blanks

If  $\sin\theta=0.81$ ...

What's the value of  $\theta$  (reference angle)?

Type answer with 2 decimals

Multiple Select

Select all the quadrants where  $\sin\theta=0.81$ 

• I

• II

• III

• IV

Fill in the Blanks

In  $\sin\theta=0.81$ , the value of  $\theta=0.94$ .

What's the value of the angle in Quadrant II.

Type answer with 2 decimals

Fill in the Blanks

If  $\tan\theta=5.3$ ...

What's the value of  $\theta$  (reference angle)?

Type answer with 2 decimals

Multiple Select

Select all the quadrants where  $\tan\theta=5.3$ 

• I

• II

• III

• IV

Fill in the Blanks

In  $\tan\theta=5.3$ , the value of  $\theta=1.38$ .
What's the value of the angle in Quadrant III.
Type answer with 2 decimals