1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Tasya [4]
3 years ago
9

Please help! What is x, 8 points!

Mathematics
1 answer:
Vedmedyk [2.9K]3 years ago
5 0

Answer:

Step-by-step explanation:

Replace tan^2(x) with sin^2 (x ) / cos^2(x)

2 sec(x) sin^3(x) = cos(x) * sin^2(x) / cos^2(x)    Cancel cos(x) with cos^2(x)

2 sec(x) sin^3(x) = sin^2(x) / cos(x)                     Multiply by cos(x) both sides

2 sec(x)*cos(x)*sin^3(x) = sin^2(x)                      Divide sin^2(x) both sides

Note sec(x) and   cos(x) will cancel when multiplied. giving you one

2 sin^3(x) / sin^2(x) = sin^2(x) / sin^2(x)             Do the division

2 sin(x) = 1                                                           Divide by 2

sin(x) = 1/2

x = sin-1(1/2)

x = 30 degrees or 150 degrees.

So the answers are pi/6 and 5/6 pi

You might be interested in
The equations that must be solved for maximum or minimum values of a differentiable function w=​f(x,y,z) subject to two constrai
sammy [17]

The Lagrangian is

L(x,y,z,\lambda,\mu)=x^2+y^2+z^2+\lambda(4x^2+4y^2-z^2)+\mu(2x+4z-2)

with partial derivatives (set equal to 0)

L_x=2x+8\lambda x+2\mu=0\implies x(1+4\lambda)+\mu=0

L_y=2y+8\lambda y=0\implies y(1+4\lambda)=0

L_z=2z-2\lambda z+4\mu=0\implies z(1-\lambda)+2\mu=0

L_\lambda=4x^2+4y^2-z^2=0

L_\mu=2x+4z-2=0\implies x+2z=1

Case 1: If y=0, then

4x^2-z^2=0\implies4x^2=z^2\implies2|x|=|z|

Then

x+2z=1\implies x=1-2z\implies2|1-2z|=|z|\implies z=\dfrac25\text{ or }z=\dfrac23

\implies x=\dfrac15\text{ or }x=-\dfrac13

So we have two critical points, \left(\dfrac15,0,\dfrac25\right) and \left(-\dfrac13,0,\dfrac23\right)

Case 2: If \lambda=-\dfrac14, then in the first equation we get

x(1+4\lambda)+\mu=\mu=0

and from the third equation,

z(1-\lambda)+2\mu=\dfrac54z=0\implies z=0

Then

x+2z=1\implies x=1

4x^2+4y^2-z^2=0\implies1+y^2=0

but there are no real solutions for y, so this case yields no additional critical points.

So at the two critical points we've found, we get extreme values of

f\left(\dfrac15,0,\dfrac25\right)=\dfrac15 (min)

and

f\left(-\dfrac13,0,\dfrac23\right)=\dfrac59 (max)

5 0
4 years ago
Is FGH ~ JKL? If so, identify the similarity postulate or theorem that applies.
Nonamiya [84]
Cannot be determined because if your only given two thing (FG and the angle measure of F) thats not enough informations. The only way you know if a triangle is similar with only two pieces of information would be for the angle angle postulate.
6 0
3 years ago
Read 2 more answers
What is the value of x
Sergio039 [100]

Answer:

d. 10

Step-by-step explanation:

7 0
3 years ago
Solve x:<br> 6 - x/2 = 10<br> --Please Help! Maths Homework Due In For Monday! Xx
ratelena [41]

6 - \frac{x}{2}= 10  Subtract 6 on both sides

6-\frac{x}{2}-6=10-6

-\frac{x}{2}= 4

Multiply -2 on both sides to get "x" by itself

-\frac{x}{2} (-2) = 4(-2)


x = -8

4 0
3 years ago
Read 2 more answers
What is the completely factored form of 3x5 – 7x4 + 6x2 – 14x?
Sergio039 [100]

Answer:

x(x³ + 2)(3x - 7)

Step-by-step explanation:

I got it right

3 0
3 years ago
Read 2 more answers
Other questions:
  • A lot of points
    11·1 answer
  • NEED HELP!!!!! Which of these sequences is a geometric sequence?
    15·1 answer
  • A prescription calls for 0.04 grams of medicine for each dose. How many milligrams of the medicine would be contained in 5 doses
    14·1 answer
  • Evaluate the 6 trig functions of the angle e. (please make sure to reduce ALL fractions)! 6 8 sin o 1 CSCA = cos e sec 0 tan cot
    10·1 answer
  • Jake is comparing the price of 2 laundry service companies company a charges $20 per load in an additional $8 as service charges
    12·1 answer
  • Jane works at The Bottling Company. She needs to put 8,500 bottles of water into cases. So far she has put 2,136 in cases. How m
    15·1 answer
  • -5\left(p+\dfrac35\right) = -4−5(p+ <br> 5<br> 3<br> ​ <br> )=−4
    9·1 answer
  • I will give brainliest to right answer
    5·1 answer
  • Write an expression that represents the volume of a rectangular-shaped box with a length 3 inches less than its height and a wid
    10·1 answer
  • Find the slope and y-intercept of the line shown below.
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!