Solve the Equation for x 5x + 6 = -3x – 10 O-2 2 -3 3

Three trigonometric functions for a given angle are shown below. cosecant theta = thirteen-twelfths; secant theta = Negative thi

Kay [80]

Answer:

(–5, 12) is the correct answer.

Step-by-step explanation:

We are given the following values:

$cosec\theta = \dfrac{13}{12}\\sec\theta=-\dfrac{13}{5}\\cot\theta =-\dfrac{5}{12}$

Now, we know the following identities:

$sin \theta = \dfrac{1}{cosec\theta}\\cos \theta = \dfrac{1}{sec\theta}\\tan \theta = \dfrac{1}{cot\theta}$

Now, the values are:

$sin\theta = \dfrac{12}{13}\\cos\theta=-\dfrac{5}{13}\\tan\theta =-\dfrac{12}{5}$

Sine value is positive and cos, tan values are negative.

It can be clearly observed that $\theta$ is in 2nd quadrant.

2nd quadrant means, the value of $x$ will be negative and $y$ will be positive.

Let us have a look at the value of $tan\theta$ :

$tan\theta = \dfrac{Perpendicular}{Base}\\OR\\tan\theta = \dfrac{y-coordinate}{x-coordinate} = -\dfrac{12}{5}\\\therefore y = 12,\\x = -5$

Please refer to the attached image for clear understanding and detailed explanation.

Hence, the correct answer is coordinate (x,y) is (–5, 12)

8 0

3 years ago

Please help! Does anyone know how to work this surface area question out???

Alik [6]

Surface area of a cylinder=(2xxradiusxheight)+(xradius^2x2)

Radius=Diameter/2
Radius=6/2
=3 m
Height=14 m
Surface area=(2xx3x14)+(x3^2x2)
Surface area=263.8937829+56.54866776
Surface area=320.4424507 m^2
=320.4 m^2

Tin of paint: 90 m^2/3.70 euros
Number of tins needed=320.4/90
=3.56 cans of paint
Price=3.56x3.70
Price=13.172 euros

Hope this helps!
P.S. the “^” sign means “to the power of”
ʕ•ᴥ•ʔ

6 0

3 years ago

ILL GIVE BRAINLIEST.

-BARSIC- [3]

Yes I just know I am in highshool

5 0

3 years ago

Exactly how many planes contain points J, K, and N? 0 1 2 3

Lapatulllka [165]

Answer: 1

A plane is uniquely defined by 3 distinct points. Think of a stool with 3 legs. Each part of the leg that makes contact with the ground allows the stool to stay stable. It turns out that that extra 4th leg may make the stool wobbly which is why 3 legs are preferred.

5 0

3 years ago

Read 2 more answers

PLEASE help me asap pleaseeeeeeee You get two answers from one problem

Troyanec [42]

X+6=5 X-14=14
-(x+6)=5 -(x-14)=14
X=-1 X=0
X=-11 X=-28
Answer:x=-11,-1 Answer:x=0,-28

3 0

3 years ago