Triganometry

Question 0

What is the relationship between sin(X) and cos(X) ?

Answer 0

Sin(X) ² + cos(X)² =1

Question 1

Express tan(X) in terms of sin(X) and cos(X)

Answer 1

Tan(X)= sin(X)

Cos(X)

Question 2

What can tan(-X) also be expressed as?

Answer 2

-tan(X). This is also the same for sin.

Question 3

What can cos(-60) be expressed as?

Answer 3

Cos(60)

Question 4

What would a translation of y=tan(X-2) do?

Answer 4

Move a tan graph by 2 to the right. This is the same for all graphs.

Question 5

What would a translation of y=3+cos(X) be

Answer 5

Move it up 3. This is the same for all graphs.

Question 6

Would a translation of y= cos(2X) be?

Answer 6

It is a compression along the x axis. The Y values will stay the same but it gets twice as compressed.

Question 7

What would a translation of Y= 3cos(X) be?

Answer 7

A stretch of 3 along the Y axis. The X values stay the same.

Question 8

When using the quadrant rule, which areas mean what?

Answer 8

Top right=all
top left=sin
bottom left=tan
bottom right=cos

Question 9

When you have a trigonometric equation, what must you try and do?

Answer 9

Use your knowledge of trigonometric identities to make all the functions the same in the equation.

Question 10

What is the area of a triangle?

Answer 10

0.5 X a X b X sin C

Question 11

When using the quadrant rule, where are the angles always measured from?

Answer 11

The x axis. Only an angle of 90 would meet the Y axis.