PreCalc-Spring Final Review

• A
• B
• C
• D

Simplify

• -1
• sin θ
• csc θ
• 1

Simplify

• csc x
• sec x
• 1/sec x
• cos x

Solve 2cosθ + √(3)=0   on the interval [0º, 360º)

• θ = 30º

• θ = 30º, 330º

• θ = 150º, 210º

• θ = 150º, 330º

Solve 4sin²θ - 1 = 0  on the interval [0º, 360º)

• θ = 60º, 120º

• θ = 30º, 150º

• θ = 60º, 120º, 240º, 300º

• θ = 30º, 150º, 210º, 330º

Write an equation for the ellipse with the given characteristics: Vertices ( 4, 3), (4, - 9) and co-vertices (6, -3), (2, -3)

• (x-4)²/36 + (y+3)²/4 = 1
• (x-4)²/16 + (y+3)²/36=1
• (x-4)² / 4 + (y+3)²∕36 =1
• (y+3)²/36 - (x-4)²/8 = 1

***A=122° c=22 a=31 find B

• 37
• 21
• 13.1
• 49

***Solve the Triangle
a=38, b= 31, c= 35
Find A, B and C

• A= 43°, B= 47°, C= 90°
• A= 70°, B= 50.1°, C= 59.9°
• A= 50.1°, B= 70°, C= 59.9°
• A= 60°, B= 70°, C= 50°

Determine the quadrant in which angle Z lies:  sec Z < 0 and tan Z > 0.

• 1
• 2
• 3
• 4

If you have the points A(-4,7) and B(-10,23), find the component form vector AB.

• <-6,16>
• <16,-6>
• <-14,30>
• <30,-14>