The sine rule is a comparison of ratios: (sin A)/a = (sin B)/b = (sin C)/c. The cosine rule looks similar to the theorem of Pythagoras: c2 = a2 + b2 - 2ab cos C.
Sine= Opposite/ Hypotenuse Cosine= Adjacent/ Hypotenuse
√ 1/2 = sine(45)= cosine(45) -Key
The sine and cosine of acute angles are equal only for 45° sin45° = cos 45° = 1/sqrt(2) = 0.7071
Sine allows us to find out what a third side or an angle is using the equation sin(x) = opposite over hypotenuse (x being the angle). Cosine has the same function but instead uses the equation cosine(x)= opposite over adjacent
at a 45 degree angle, or pi/4
The differential of the sine function is the cosine function while the differential of the cosine function is the negative of the sine function.
No. Sine rule (and cosine rule) apply to all triangles in Euclidean space (plane geometry). A simplification occurs when there is a right angle because the sine of the right angle is 1 and the cosine is 0. Thus you get Pythagoras theorem for right triangles.
The negative sine graph and the positive sine graph have opposite signs: when one is negative, the other is positive - by exactly the same amount. The sine function is said to be an odd function. The two graphs for cosine are the same. The cosine function is said to be even.
Cotangent is 1 / tangent. Since tangent is sine / cosine, cotangent is cosine / sine.
Undefined!!!! Can't answer it! All sine and cosine values are between -1 and 1 !!!
Sine(A+ B) = Sine(A)*Cosine(B) + Cosine(A)*Sine(B).
Sine= Opposite/ Hypotenuse Cosine= Adjacent/ Hypotenuse
Tangent = sine/cosine provided that cosine is non-zero. When cosine is 0, then tangent is undefined.
The answer depends on the information that you have: it could be the sine rule or the cosine rule.
because sine & cosine functions are periodic.
Sine is positive and cosine is negative in the second quadrant of the Cartesian coordinate system. In this quadrant, the angle is between 90 and 180 degrees, where the y-coordinate (sine) is positive and the x-coordinate (cosine) is negative. Thus, for any angle in the second quadrant, sine values are above the x-axis, while cosine values are below it.
Sine = -0.5 Cosine = -0.866 Tangent = 0.577