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Find out value of sin 45 cos 45 - sin 230?
Assuming that the angles are all stated in degrees: sin(45) = cos(45) = 1/2 sqrt(2) sin(45) cos(45) = (1/2)2 x (2) = 1/2 sin(230) = - 0.7660444 sin(45) cos(45) - sin(230) = 0.5 + 0.7660444 = 1.2660444 (rounded)
Sin x plus cos x?
sin(x) + cos(x) = sqrt(2) · sin(45°+x)
What is sin pi over 4?
What does sin(pi/4) = ?Let's consider a special right triangle: the 45-45-90 triangle.In any 45-45-90 triangle, since the two 45 degree angles are congruent, the sides opposite to those angles are both congruent.Now, considering the unit circle, the radius of the circle must be one.So, if you put in a 45-45-90 triangle in a unit circle, this allows you to find the value of sin pi/4 because pi/4 radians = 45 degrees.Because the circle has radius 1, the hypotenuse of the triangle must also be one. Since the other two sides must be equal, you can solve for them using the Pythagorean theorem.a2 + b2 = c2a2 + a2 = 122a2 = 1a2 = 1/2a = √(1/2)a = 1/√(2) * (√(2)/√(2))a = √(2) / 2Since sin is defined as opp/hyp, sin 45 degrees (pi/4 radians) = (√(2)/2)/1 = √(2)/2I hope this helped explain my answer. If there's anything that's still confusing, just tell me. (Sorry I didn't do it the first time).
What is the value of sin 20?
0.34202014332566873304409961468226
What is the value tan45?
Tan(45) = Sin(45) / Cos(45) Sin(45) = sqrt(2) / 2 Cos(45) = sqrt)2)/2 Hence Tan(45) = [sqrt(2) / 2] / [sqrt(2)/2] Division of fractions. [sqrt(2) / 2] / [sqrt(2)/2] => sqrt(2) /2 X 2/ sqrt(2) Cancel down by 'sqrt(2) ; 1/2 X 2/1 Cancel down by '2' 1/1 X 1/1 = 1/1 = 1 Hence Tan(45) = 1 .
