Precal Exam Review

Answer explanation

Use Pythagorean Identities to complete the statement.

Answer explanation

Use Pythagorean Identities to complete the equation

Select all that are Pythagorean Identities.

• sin²(u) + cos²(u) = 1

• sin²(u) - cos²(u) = 1

• tan²(u) + 1 = sec²(u)

• cot²(u) + csc²(u) = 1

• cot²(u) + 1 = csc²(u)

Simplify the trig expression.

• tan²x
• -tan²x
• cot²x
• cos²x*sin²x

When converting between rectangular and polar coordinates,
y = ?

•  $r\cosθ$  

•  $r\sinθ$  
  

•  $x²+y²$  

•  $\frac{y}{x},\ x≠0$  

Match the point in polar coordinates with either A, B, C, or D on the graph.
(2, 5π/6)

• A
• B
• C
• D

What is the equation?

• $\theta=\frac{π}{4}$

• $\theta=-\frac{5π}{4}$
  

• $\theta=-\frac{3π}{4}$
  

• $\theta=\frac{5π}{4}$
  

Which letter represents the point

 $(-4,\frac{4π}{3})$  ?

• F

• E

• B

• A

If the plane intersects both cones as shown in the figure, the conic section formed is a/an ______________.

• Parabola

• Ellipse

• Circle

• Hyperbola

• Center: (0, -2)

  a = 100

  b = 25

• Center: (0, 2)

  a = 10

  b = 5

• Center: (0, -2)

  a=10

  b=5

• Center: (0, 2)

  a=100

  b=25