4.3 (Trigonometry Extended)

Question 1

If pythagorean is x^2+y^2=r^2, what does that say about the variables?

Answer 1

x and y can be positive or negative, while r is always positive

Question 2

What is the formula for sin β?

Answer 2

y/r

Question 3

What is the formula for cos β?

Answer 3

x/r

Question 4

What is the formula for tan β?

Answer 4

y/x

Question 5

What is the formula for csc β?

Answer 5

r/y

Question 6

Whats the formula for sec β?

Answer 6

r/x

Question 7

Whats the formula for cot β?

Answer 7

x/y

Question 8

What does tan β equal in terms of sin and cos?

Answer 8

sin β/cos β

Question 9

What is (x,y) in terms of sin and cos?

Answer 9

(cos β, sin β)

Question 10

What direction does 90 degrees point on a coordinate plane?

Answer 10

North

Question 11

What is the highest point of the reference angles? What is its angle and radian equivalent?

Answer 11

(1/2,sqrt(3)/2); 60 degrees, π/3 radians

Question 12

What is the middle point of the reference angles? What is its angle and radian equivalent?

Answer 12

(sqrt(2)/2, sqrt(2)/2); 45 degrees, π/4 radians

Question 13

What is the lowest point of the reference angles? What is its angle and radian equivalent?

Answer 13

(sqrt(3)/2, 1/2); 30 degrees,π/6 radians