Subscribe to our βΆοΈ YouTube channel π΄ for the latest videos, updates, and tips.
Home | About Us | Contact Us | Privacy | Math Blog
3 arcsin(x) = arcsin(3x - 4x3)
We will learn how to prove the property of the inverse trigonometric function 3 arcsin(x) = arcsin(3x - 4x3) or, 3 sinβ1 x = sinβ1 (3x - 4x3)
Proof:
Let, sinβ1 x = ΞΈ
Therefore, sin ΞΈ = x
Now we know that, sin 3ΞΈ = 3 sin ΞΈ - 4 sin3 ΞΈ
β sin 3ΞΈ = 3x - 4x3
Therefore, 3ΞΈ = sinβ1 (3x - 4x3)
β 3 sinβ1 x = sinβ1 (3x - 4x3)
or, 3 arcsin(x) = arcsin(3x - 4x3) Proved
β Inverse Trigonometric Functions
- General and Principal Values of sinβ1 x
- General and Principal Values of cosβ1 x
- General and Principal Values of tanβ1 x
- General and Principal Values of cscβ1 x
- General and Principal Values of secβ1 x
- General and Principal Values of cotβ1 x
- Principal Values of Inverse Trigonometric Functions
- General Values of Inverse Trigonometric Functions
- arcsin(x) + arccos(x) = Ο2
- arctan(x) + arccot(x) = Ο2
- arctan(x) + arctan(y) = arctan(x+y1βxy)
- arctan(x) - arctan(y) = arctan(xβy1+xy)
- arctan(x) + arctan(y) + arctan(z)= arctanx+y+zβxyz1βxyβyzβzx
- arccot(x) + arccot(y) = arccot(xyβ1y+x)
- arccot(x) - arccot(y) = arccot(xy+1yβx)
- arcsin(x) + arcsin(y) = arcsin(x β1βy2 + yβ1βx2)
- arcsin (x) - arcsin(y) = arcsin (x β1βy2 - yβ1βx2)
- arccos (x) + arccos(y) = arccos(xy - β1βx2β1βy2)
- arccos(x) - arccos(y) = arccos(xy + β1βx2β1βy2)
- 2 arcsin(x) = arcsin(2xβ1βx2)
- 2 arccos(x) = arccos(2x2 - 1)
- 2 arctan(x) = arctan(2x1βx2) = arcsin(2x1+x2) = arccos(1βx21+x2)
- 3 arcsin(x) = arcsin(3x - 4x3)
- 3 arccos(x) = arccos(4x3 - 3x)
- 3 arctan(x) = arctan(3xβx31β3x2)
- Inverse Trigonometric Function Formula
- Principal Values of Inverse Trigonometric Functions
- Problems on Inverse Trigonometric Functionsxz
11 and 12 Grade Math
From 3 arcsin(x) to HOME PAGE
Didn't find what you were looking for? Or want to know more information about Math Only Math. Use this Google Search to find what you need.
Recent Articles
-
Successor and Predecessor | Successor of a Whole Number | Predecessor
Jul 29, 25 12:59 AM
The number that comes just before a number is called the predecessor. So, the predecessor of a given number is 1 less than the given number. Successor of a given number is 1 more than the given number⦠-
Worksheet on Area, Perimeter and Volume | Square, Rectangle, Cube,Cubo
Jul 28, 25 01:52 PM
In this worksheet on area perimeter and volume you will get different types of questions on find the perimeter of a rectangle, find the perimeter of a square, find the area of a rectangle, find the ar⦠-
Worksheet on Volume of a Cube and Cuboid |The Volume of a RectangleBox
Jul 25, 25 03:15 AM
We will practice the questions given in the worksheet on volume of a cube and cuboid. We know the volume of an object is the amount of space occupied by the object.1. Fill in the blanks: -
Volume of a Cuboid | Volume of Cuboid Formula | How to Find the Volume
Jul 24, 25 03:46 PM
Cuboid is a solid box whose every surface is a rectangle of same area or different areas. A cuboid will have a length, breadth and height. Hence we can conclude that volume is 3 dimensional. To measur⦠-
Volume of a Cube | How to Calculate the Volume of a Cube? | Examples
Jul 23, 25 11:37 AM
A cube is a solid box whose every surface is a square of same area. Take an empty box with open top in the shape of a cube whose each edge is 2 cm. Now fit cubes of edges 1 cm in it. From the figure iβ¦
New! Comments
Have your say about what you just read! Leave me a comment in the box below. Ask a Question or Answer a Question.