Sin 45 Square Root Of 2 So the sqrt 2 2 is the output of the function sine for an input of 45 degrees Also a handy trick for the unit circle is knowing the sides of a 30 60 90 triangle you can do this by
The exact value of sin 45 sin 45 is 2 2 2 2 The result can be shown in multiple forms 0 70710678 0 70710678 Free math problem solver answers your algebra geometry The exact value of sin 45 is frac sqrt 2 2 Explanation Consider triangle ABC to be right angled in B and choose angle BCA such that its measure is
Sin 45 Square Root Of 2
Sin 45 Square Root Of 2
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The sine of 45 degrees is 2 2 the cosine is 2 2 and the tangent is 1 Explanation The sine cosine and tangent of 45 degrees can be found using the values of the Using sin pi 4 or sin 45 is a convenient way to calculate the sine of 45 degrees because the angle is expressed in radians in the first expression and in degrees in the second The result is
To calculate sin 45 as a fraction you can use the fact that it s equal to the square root of 2 divided by 2 So sin 45 as a fraction is sin 45 2 2 This fraction is in its simplest form What is the value of sin 45 2
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A right angled triangle with angle 45 circ has opposite and adjacent sides equal in length so by Pythagoras s Theorem the hypotenuse is sqrt 2 times the length of Once you ve entered the function and selected the operation click the Go button to generate the result The calculator will instantly provide the solution to your trigonometry problem saving
Take the inverse sine of both sides of the equation to extract x x from inside the sine Simplify the right side Tap for more steps The sine function is positive in the first and second quadrants Taking the positive square root of both sides gives displaystyle sin 45 frac s c frac 1 sqrt 2 To show that displaystyle frac 1 sqrt 2 frac sqrt 2 2
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So the sqrt 2 2 is the output of the function sine for an input of 45 degrees Also a handy trick for the unit circle is knowing the sides of a 30 60 90 triangle you can do this by

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The exact value of sin 45 sin 45 is 2 2 2 2 The result can be shown in multiple forms 0 70710678 0 70710678 Free math problem solver answers your algebra geometry

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Sin 45 Square Root Of 2 - By the half of the angle we have that sin x 2 1 cos x 2 we pick the positive sign as sin 22 5 is greater than 0 as 22 5 is in quadrant I with x 45