3 years ago

Solve, for 0 ≤ θ < 360 , the equation sin2 θ = 1 + cos θ

Mathematics

1 answer:

marshall27 [118]3 years ago

3 0

Answer:

θ = 90°, 180°, or 270°

Step-by-step explanation:

sin²θ = 1 + cos θ

Use Pythagorean identity.

1 − cos²θ = 1 + cos θ

Move everything to one side and simplify.

0 = cos²θ + cos θ

Factor.

0 = cos θ (cos θ + 1)

Solve.

cos θ = 0 or -1

θ = 90°, 180°, or 270°

You might be interested in

Two companies sell sports medals online. Company Y charges $3.59 per medal plus $9.99 for shipping. Company Z charges $3.99 per

Nat2105 [25]

Answer: 9 I guess let me know the correct answer.

Step-by-step explanation: Hope this helps (:

6 0

3 years ago

Bianca is 18 years old. Her brother, Chase is 2 times that age. Her sister, Valerie is 3 times the age as Chase. How old is Chas

nikdorinn [45]

Answer:

its 15

Step-by-step explanation:

7 0

3 years ago

Read 2 more answers

2 – 1 + 5 x 4 x 11 Solve with PEMDAS

tia_tia [17]

The answer is 221. And it’s solved with PEMDAS

4 0

4 years ago

Read 2 more answers

Diana is painting statues. She has 7/8 fraction of a gallon of paint remaining. Each statue requires 1/6 of a gallon of paint. h

fomenos

She can paint almost 7 statues - 6.86 statues.

7/8 ÷ 1/6

21/24 ÷ 4/24

21/24 * 24/4 = 576/84

576 / 84 is approximately 6.86.

4 0

4 years ago

Help please!!! Thank you

ANTONII [103]

Answer:

Option (G)

Step-by-step explanation:

Let the length of the race = a miles

Since, Speed = $\frac{\text{Distance}}{\text{Time}}$

Time taken to cover 'a' miles with the speed = 12 mph,

Time taken ' $t_1$ ' = $\frac{a}{12}$

Time taken to cover 'a' miles with the speed = 11 mph,

Time taken ' $t_2$ ' = $\frac{a}{11}$

Since the time taken by David to cover 'a' miles was 10 minutes Or $\frac{1}{6}$ hours more than the time he expected.

So, $t_2=t_1+\frac{1}{6}$

$\frac{a}{11}=\frac{a}{12}+\frac{1}{6}$

$\frac{a}{11}-\frac{a}{12}=\frac{1}{6}$

$\frac{12a-11a}{132}=\frac{1}{6}$

a = 22 mi

Therefore, distance of the race = 22 mi

Option (G) is the correct option.

6 0

3 years ago