The circle below is centered at the origin and has a radius of 2. What is its equation?

If tan theta =3, find the value of tan theta + tan (theta+pi) + tan (theta +2pi)

sweet-ann [11.9K]

Answer:

$tan\theta + tan(\theta + \pi) + tan(\theta+2\pi) = 9$

Step-by-step explanation:

Given

$tan\theta = 3$

Required

Find

$tan\theta + tan(\theta + \pi) + tan(\theta+2\pi)$

Calculate $tan(\theta + \pi) \ and\ tan(\theta+2\pi)$

Using tan rule

$tan(\theta + \pi) = \frac{tan\theta + tan\pi}{1 - tan\theta tan\pi}$

So:

$tan(\theta + \pi) = \frac{tan\theta + 0}{1 - tan\theta *0}$

$tan(\theta + \pi) = \frac{tan\theta}{1 }$

$tan(\theta + \pi) = \tan\theta$

$tan(\theta+2\pi)$

$tan(\theta + 2\pi) = \frac{tan\theta + tan2\pi}{1 - tan\theta tan2\pi}$

$tan(\theta + 2\pi) = \frac{tan\theta + 0}{1 - tan\theta *0}$

$tan(\theta + 2\pi) = \tan\theta$ '

'So:

$tan\theta + tan(\theta + \pi) + tan(\theta+2\pi)$ $= tan\theta +tan\theta +tan\theta$

$tan\theta + tan(\theta + \pi) + tan(\theta+2\pi) = 3+3+3$

$tan\theta + tan(\theta + \pi) + tan(\theta+2\pi) = 9$

4 0

3 years ago

What does it simply to please help

Juli2301 [7.4K]

Answer:

x

Step-by-step explanation:

3 0

3 years ago

Read 2 more answers

Juanita is cutting a piece of construction paper in the shape of a parallelogram. Two opposite sides of the parallelogram have l

Tema [17]

Answer:

4 cm and 7 cm

Step-by-step explanation:

Given that Juanita is cutting a piece of construction paper in the shape of a parallelogram. Two opposite sides of the parallelogram have lengths (5n − 6) cm and (3n − 2) cm.

We know that opposite sides are equal in a parallelogram.

Hence we have

$5n-6 = 3n-2\\2n =4\\n=2$

Hence the side length = $5(2)-6 =4 cm$

The adjacent side = $2n+3\\=2(2)+3\\=7cm$

Thus answer is 4 cm and 7 cm

3 0

4 years ago

Read 2 more answers

A publisher estimates the annual demand for a book to be 8000 copies, and built a warehouse to accommodate at most 8000 copies.

Illusion [34]

Answer: $1000

Step-by-step explanation:

Annual demand (D) = 8000

Cost per order (S) = $1000

Cost per unit to print = $8 per book

Storage cost = $2 per book per year

The minimum total cost can be found thus :

√(2 × D × S) / storage cost * cost per unit

√(2 × 8000 × 1000) / (2 * 8)

√ (16,000,000 / 16

√ (1,000,000

= 1000

Hence , minimum total cost $1000

8 0

3 years ago

⚠️ Help I don’t understand this one and it’s my last one !! ⚠️

Kruka [31]

Answer:

x=4

Step-by-step explanation:

no because x=4 and you can't have multiple answerd

7 0

3 years ago