Babydoll

Solve the triangles below.

https://prnt.sc/nn1a29

(a)

(b)

Solve each equation on the interval [0, 2π)

(a) 4 sin^2 x-3=0

(b) cos(3x)=-1

1. Consider the right triangle ABC given below:

https://prnt.sc/nmypih

(a) Find the length of side b to two decimal places.

(b) Find the length of side a to two decimal places in three different ways

Identify, graph, and state the symmetries for each polar equation. Write the scale that you are using for the polar axis.

(a) r=1-2cos theta

(b) r^2=cos(2theta)

Identify, graph, and state the symmetries for each polar equation. Write the scale that you are using for the polar axis.

(a) r=1-2cos theta

(b) r^2=cos(2theta)

Give two sets of coordinates that could be used to plot the given point.

https://prnt.sc/nm4zc4

Transform each polar equation to an equation in rectangular coordinates and identify its shape.

(a) r = 6

(b) r=2cos theta

1. The polar coordinates of a point are given. Find the rectangular coordinates of each point.

(a) (5, π/4)

(b) (-2, π/6)

2. The rectangular coordinates of a point are given. Find the polar coordinates of each point.

(a) (4, 0)

(b) (0, 3)

Compute the modulus and argument of each complex number.

a. -5

b. -5 + 5i

Compute the modulus and argument of each complex number.

a. -5

b. -5 + 5i

Graph each polar equation. Write the scale you are using for the polar axis.

a. r = 9cos(5θ)

https://prnt.sc/nl8drs

b. r = 2cosθ

https://prnt.sc/nl8dva

1.[√5(cos(5π/16))+isin(5π/16)]^4

2. [^3√7(cos(π/18))+isin(π/18)]^6

Write each expression in the standard form for a complex number, a + bi.

1. (1 + i)^5

2. (-√3+i)5

Write each expression in the standard form for a complex number, a + bi.

1. [2(cos(π/20))+isin(π/20)]^5

2. [√1(cos(3π/14))+isin(3π/14)]^7

3. [√5(cos(5π/16))+isin(5π/16)]^4

4. [^3√7(cos(π/18))+isin(π/18)]^6

5. (1 + i)^5

6. (-√3+i)5

Write each expression in the standard form for a complex number, a + bi.

1. [2(cos(π/20))+isin(π/20)]^5

2. [√1(cos(3π/14))+isin(3π/14)]^7

3. [√5(cos(5π/16))+isin(5π/16)]^4

4. [^3√7(cos(π/18))+isin(π/18)]^6

5. (1 + i)^5

6. (-√3+i)5

For questions 1-6, transform each polar equation an equation in rectangular coordinates identify its shape.

1. r = 6

2. θ = π / 6

3. rsinθ = 3

4. r = 2cosθ

5. rcscθ = 5

6. r = (4 / (2cosθ - 3sinθ)

1. Solve for all missing sides and angles.

https://prnt.sc/naceve

2. Solve for all missing sides and angles.

https://prnt.sc/nacexj

1. Solve for all missing sides and angles.

https://prnt.sc/naceve

2. Solve for all missing sides and angles.

https://prnt.sc/nacexj

1 – 4. Solve the given triangles by finding the missing angle and other side lengths.

https://prnt.sc/n9r58r

https://prnt.sc/n9r5yk

Let v1=(-6, 4) and v2=(-3, 6). Compute the following.

(a) v1*v2

(b) The angle between v1 and v2.

(c) The scalar projection of v1 onto v2.

(d) The projection of v1 onto v2.