Trigonometry

Question 1

What is the equation for sin(x)?

Answer 1

opposite/hypotenuse

Question 2

What is the equation for cos(x)?

Answer 2

adjacent/hypotenuse

Question 3

What is the equation for tan(x)?

Answer 3

opposite/adjacent

Question 4

What is the sine rule?

Answer 4

a/sinA = b/sinB = c/sinC or sinA/a = sinB/b = sinC/c

Question 5

What is the cosine rule?

Answer 5

a^2 = b^2 + c^2 - 2bcCosA

Question 6

What does the graph y = sin(x) look like?

Answer 6

From the origin the graph increases, peaks at (90 degrees(pi/2), 1) , crosses the x-axis at 180(pi) degrees, troughs at (270 degrees(3pi/2),-1) and crosses the x-axis again at 360 degrees(2pi).

Question 7

What does the graph y = cos(x) look like?

Answer 7

Starts at (0,1), crosses the x-axis at 90 degrees(pi/2), troughs at (180 degrees(pi),-1), crosses the x-axis again at 270 degrees(3pi/2) and peaks at (360 degrees(2pi),1).

Question 8

What does the graph y = tan(x) look like?

Answer 8

One line is an increasing curve from the origin with an asymptote at x = 90 degrees(pi/2). The next line is a decreasing curve going upwards with the same asymptote and crossing the x-axis at 180 degrees(pi) and changing into an increasing curve with an asymptote at x = 270 degrees(3pi/2) The next line is the same as the last with the secont asymptote as its first and crossing the x-axis at 360 degrees(2pi).

Question 9

What are the trig identities?

Answer 9

sin(x)/cos(x) = tan(x), sin^2(x) + cos^2(x) = 1