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
Which point is an x-intercept of the quadratic function f(x) = (x – 4)(x + 2)?​
Dima020 [189]

Answer:

x = - 2, x = 4

Step-by-step explanation:

Given

f(x) = (x - 4)(x + 2)

To find the x- intercepts let f(x) = 0, that is

(x - 4)(x + 2) = 0 ← in standard form

Equate each factor to zero and solve for x

x - 4 = 0 ⇒ x = 4 → (4, 0 )

x + 2 = 0 ⇒ x = - 2 → (- 2, 0 )

7 0
3 years ago
C2 - 6c-5<br> Evaluate the expression when c = -2
vivado [14]
-2(2)-6(-2)-5
-4+12-5
Answer is 3
3 0
3 years ago
Need help asappppppp​
PilotLPTM [1.2K]

Given:

The right triangular prism.

Height of prism = 28 in.

Hypotenuse of base = 25 in.

leg of base = 24 in.

To find:

The lateral surface area of the prism.

Solution:

Pythagoras theorem:

Hypotenuse^2=Perpendicular^2+Base^2

Using Pythagoras theorem in the base triangle, we get

25^2=24^2+Base^2

625-576=Base^2

\sqrt{49}=Base

7=Base

The perimeter of the triangular base is:

P=7+25+24

P=56

Lateral area of a triangular prism is:

A=Ph

Where, P is the perimeter of the triangular base and h is the height of the prism.

Putting P=56,h=28 in the above formula, we get

A=56(28)

A=1568

Therefore, the lateral area of the prism is 1568 in².

8 0
3 years ago
PLEASE HELP 20 POINTS
Thepotemich [5.8K]

terms are t

and like terms are numbers


8 0
3 years ago
Read 2 more answers
What is the density of an object that has a volume of 4 mL and mass of 12 g
Kryger [21]
Density /rho is given by the equation
\rho = \frac{m}{V}
8 0
3 years ago
Other questions:
  • Trying to help my nephew with math been so long I forget how to do it . Arrange the numbers in increasing order. 8.08, 8.081, 8.
    15·2 answers
  • Roscoe's family has dinner at a restaurant. The total cost is $103.80. This includes 5% tax and 15% tip on the ore tax amount. H
    5·1 answer
  • Tracy has a dozen doughnuts. julius gives her 6 more. tracy and julius then eat a of 3 doughnuts.
    11·2 answers
  • What would be the distance traveled if you traveled 48 mph for 6 1/2 hours
    11·2 answers
  • Use slope to determine if lines PQ and RS are parallel,
    8·1 answer
  • -28+4x=4(x-7) how many solutions marking brainlest
    11·2 answers
  • Find FL - will mark brainliest
    12·2 answers
  • What is 0.25+1/8+24+60=
    15·1 answer
  • to grow properly, each tomato plant needs 1.5 square feet of soil and each broccoli plant needs 2.25 square feet of soil. the gr
    6·1 answer
  • Which of the following is the equation of the circle shown below?
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!