MHB Solve Equation w/ Arcsin: How to Get 1/sqrt2 from pi/4

  • Thread starter Thread starter snowslider
  • Start date Start date
Click For Summary
To solve the equation involving arcsin, it's essential to understand that sin(pi/4) equals 1/sqrt(2). This value is derived from the properties of an isosceles right triangle, where the angles are 45 degrees. When taking the sine of both sides of the equation, it confirms that arcsin(1/sqrt(2)) yields pi/4. Clarifying this step helps in understanding the relationship between arcsin and sine functions. Thus, recognizing these fundamental trigonometric identities is crucial for solving similar equations.
snowslider
Messages
5
Reaction score
0
Hello, I was trying to solve an equation with arcsin and I wasn´t sure about the result so I tried wolfram alpha with step by step solution and there is one step that I don´t understand, the one where you take the sine of both sides. How can I get 1/sqrt2 from pi/4 ? Thanks for help.View attachment 4961
 

Attachments

  • Screenshot_2015-11-10-23-34-22.png
    Screenshot_2015-11-10-23-34-22.png
    38.9 KB · Views: 122
Mathematics news on Phys.org
sin(pi/4) = 1/sqrt(2) is probably the most well-known trigonometric value (it comes from the isosceles right angle triangle).
 

Similar threads

Prove that the integral is equal to ##\pi^2/8##
  • · Replies 105 ·
4
Replies
105
Views
6K
MHB Understanding an Equation: $\frac {1}{2\sqrt{2}} = \frac{\sqrt2} {4}$
  • · Replies 2 ·
Replies
2
Views
1K
MHB Solutions for arcsin(x) + arcsin(k) = π/2
  • · Replies 5 ·
Replies
5
Views
3K
MHB Expanding and simplifying brackets
  • · Replies 2 ·
Replies
2
Views
1K
Undergrad Determine ## \beta ## as a function of ##\theta## linkage
  • · Replies 2 ·
Replies
2
Views
2K
MHB How do I solve for a_3 in a complex Fourier series?
  • · Replies 2 ·
Replies
2
Views
3K
Undergrad Solving simultaneous vector equations
  • · Replies 11 ·
Replies
11
Views
3K
Undergrad Find an explicit formula for this n-sum problem
  • · Replies 7 ·
Replies
7
Views
3K
MHB Explore the Multiple Grid Method: Get Accurate Solution Faster
  • · Replies 36 ·
2
Replies
36
Views
8K
Graduate Help needed with derivation: solving a complex double integral
  • · Replies 1 ·
Replies
1
Views
2K