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
mote1985 [20]
3 years ago
8

Find a numerical value if one trigonometric function of x if tan2x-sin2x/sin2x=5

Mathematics
1 answer:
seropon [69]3 years ago
4 0

Answer:

The values of x that satisfy the given equation are:

x1 = 1.183 + nπ

x2 = -1.183 + nπ

Step-by-step explanation:

Given tan²x - sin²x/sin²x = 5

Simplifying this, we have

tan²x - 1 = 5

Adding 1 to both sides, we have

tan²x = 6

Because tan²x = (tanx)², we can write as

(tanx)² = 6

Taking square roots of both sides, we have.

tanx = ±√6

x = arctan(±√6) + nπ

≈ 1.183 + nπ or -1.183 + nπ

You might be interested in
Solve for x. Give your answer in simplest radical form
Tasya [4]
Use the Pythagorean Theorem to find the length of the side marked "x."
x^2 + (10 mi)^2 = (13 mi)^2.  Thus, x^2 + 100 mi^2 = 169 mi^2.
Next, x^2= (169-100) mi^2, or x^2 = 69 mi^2.  Find the positive square root of both sides of this equation.  What is it?
3 0
3 years ago
Given the following triangle:
lara [203]

Answer:

A=61, B=74

Step-by-step explanation:

Because all the angles in a triangle add up to 180:

(2x+4) + (2x-9) + x = 180

If you solve that for x, you will get that x=35. Now you just plug in x to the angles A and B.

6 0
2 years ago
How many times larger is 2⁴⁵ than 2⁴²​
andre [41]

Answer:

hi

Step-by-step explanation:

2⁴⁵÷2⁴²=2³

2³=8

hope it helps

have a nice day

7 0
3 years ago
Read 2 more answers
Sabina bought a samsung mobile set for rs.15750 after getting the discount of 10%. Find the price of mobile set before discount.
Elanso [62]

Answer:

Step-by-step explanation:

90/100 * x = 15750

0.9 x = 15750

x = 15750/0.9

x = 17500

Now check this by taking 10% off. Do you get 15750?

Let's see

10/100 of 17500 = 1750

Subtract that from 17500

17500 - 1750 = 15750 which is exactly what you should get.

7 0
3 years ago
Can some plz help me plz!!!!!
LiRa [457]
The choices are in the slope-intecept form: y = mx + b, where m is the slope and b is the y-intercept. Looking at the graph, the y-intercept is the point at which it intersects the y-axis. That would be -1. So, the answer is either  the 1st or 2nd choice. Next, we find the slope. Take 2 points that lie along the line. For example, points (1,2) and (2,5). Calculate for the slope.

m = (y2-y1)/(x2-x1)
m = (5-2)/(2-1)
m = 3

Hence, the graph is y = 3x - 1
8 0
3 years ago
Other questions:
  • Simplify 8^2 / 4 + 3(6 - 3) + 2^3.<br><br> show steps pls !!
    11·1 answer
  • What is 33 1/2 of 24 and 37 1/2 of 80 and finally, what is 66 2/3 of 45
    15·2 answers
  • Noam walks home from school by walking 8 blocks north and then 6 blocks east. How
    10·1 answer
  • (2.5 x 10^-6) ÷ (5 x 10^-3)
    11·1 answer
  • Which relationship is likely ONLY a correlation and NOT one of causation? A) As the temperature increases, the number of air con
    14·1 answer
  • A cone and a cylinder have the same radius and height. The volume of the cone is 100π (pi) cubic feet. What is the volume of the
    6·1 answer
  • The square number that is between 35 and 45
    7·1 answer
  • Will give brainliest if anyone helps me with this one.
    15·1 answer
  • Pls helppp 3 part question
    15·2 answers
  • There were three parts to Rita's race. She ran the first part, which was 4/9
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!