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
lukranit [14]
2 years ago
14

2sinx / cos3x = tan3x - tanx -verify the identity-

Mathematics
1 answer:
scoundrel [369]2 years ago
6 0

Answer:

cos3x+tan3x=0  

⟹cos3x=−tan3x

⟹cos3x=−sin3xcos3x

⟹cos23x=−sin3x

⟹1−sin23x=−sin3x

⟹sin23x−sin3x−1=0

This is a quadratic equation in sin3x.

sin3x=−(−1)±(−1)2−4×1×(−1)−−−−−−−−−−−−−−−−−√2×1

sin3x=1±5–√2

If x takes real values, the upper sign must be rejected.

sin3x=1−5–√2

⟹3x=nπ+(−1)nsin−11−5–√2

⟹x=13[nπ+(−1)nsin−11−5–√2]

Step-by-step explanation:

Hope this kind of helps

You might be interested in
Jenny and Natalie are selling cheesecakes for a school fundraiser. Customers can buy chocolate cakes and vanilla cakes. Jenny so
IrinaVladis [17]

The cost of 1 chocolate cake is $ 6 and cost of 1 vanilla cake is $ 7

<em><u>Solution:</u></em>

Let "c" be the cost of 1 chocolate cake

Let "v" be the cost of 1 vanilla cake

<em><u>Jenny sold 14 chocolate cakes and 5 vanilla cakes for 119 dollars</u></em>

Therefore, we can frame a equation as:

14 x cost of 1 chocolate cake + 5 x cost of 1 vanilla cake = 119

14 \times c + 5 \times v=119

14c + 5v = 119 ------- eqn 1

<em><u>Natalie sold 10 chocolate cakes and 10 vanilla cakes for 130 dollars</u></em>

Therefore, we can frame a equation as:

10 x cost of 1 chocolate cake + 10 x cost of 1 vanilla cake = 130

10 \times c + 10 \times v = 130

10c + 10v = 130 -------- eqn 2

<em><u>Let us solve eqn 1 and eqn 2</u></em>

Multiply eqn 1 by 2

28c + 10v = 238 ------ eqn 3

<em><u>Subtract eqn 2 from eqn 3</u></em>

28c + 10v = 238

10c + 10v = 130

( - ) --------------------------

18c = 108

c = 6

<em><u>Substitute c = 6 in eqn 1</u></em>

14(6) + 5v = 119

84 + 5v = 119

5v = 119 - 84

5v = 35

v = 7

Thus cost of 1 chocolate cake is $ 6 and cost of 1 vanilla cake is $ 7

8 0
3 years ago
What is the slope of the line
mart [117]
Slope = 4/1 = 4

hope it helps
3 0
3 years ago
Read 2 more answers
Give an example of when you had to prove something, and how you did it!
Marizza181 [45]

Answer:

Just practice ,know different ways of solving it ,gain experince ,be smart and skilled.

Step-by-step explanation:

if you want to prove anuthing then go with the concept accoeding to the nature of the problem and there are almost many ways to prove anything so don't waste your time on way get on to the other ways.

It may not get proved at first time so keep on doing questions and when you have gained experience you know every nature of problems and then you are skilled properly.

8 0
3 years ago
What is the quotient of 5 to the negative 6th power over 5 to the 3rd power
GarryVolchara [31]

Answer:1 over 5 to the 9th power (1 over 1953125).

Step-by-step explanation:

5^-6/5^3 hard to show fractions and exponents, but since 5^-6 is a negative exponent you must flip in, or put it on the bottom. So now you have 1 over 5 to the 9th power(1/5^9), or more simplified 1 over 1953125(1/1953125).

4 0
3 years ago
Answer this right for a cookie
elena55 [62]
Ouuuuuuuuuu I want a cookie
6 0
3 years ago
Other questions:
  • the providence children muesuem installed a fence around the perimeter of the propety. the propety is a rectangle. one side is 3
    8·1 answer
  • Which is the equation of the line for the points in the given table
    11·1 answer
  • What is the slope of this line? <br><br> Enter your answer in the box.
    14·2 answers
  • Sandra wants to evaluate 2 cot Her work is shown below. What did she do wrong?
    7·1 answer
  • The box plot below shows attendance at a local movie theater in high school basketball games which of the following best describ
    13·1 answer
  • An introduction to equations x-3=10
    8·2 answers
  • HELP ILL MARK YOU BRAINLIEST!!!
    15·2 answers
  • Please help me 7th math
    6·1 answer
  • What would happen if addition were not associative?
    11·1 answer
  • Angles related to a circle. Solve for x.
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!