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

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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.
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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
 

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sin(pi/4) = 1/sqrt(2) is probably the most well-known trigonometric value (it comes from the isosceles right angle triangle).
 

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