sin = opp/hyp
cos = adj/hyp
tan = opp/adj
sin(x) = cos(pi/2 - x). Thus sine is simply a horizontal translation of the cosine function. NB: angles are measured in radians.
csc(x)*{sin(x) + cos(x)} = csc(x)*sin(x) + csc(x)*cos(x) =1/sin*(x)*sin(x) + 1/sin(x)*cos(x) = 1 + cot(x)
to find the measure of an angle. EX: if sin A = 0.1234, then inv sin (0.1234) will give you the measure of angle A
Sine sum identity: sin (x + y) = (sin x)(cos y) + (cos x)(sin y)Sine difference identity: sin (x - y) = (sin x)(cos y) - (cos x)(sin y)Cosine sum identity: cos (x + y) = (cos x)(cos y) - (sin x)(sin y)Cosine difference identity: cos (x - y) = (cos x)(cos y) + (sin x)(sin y)Tangent sum identity: tan (x + y) = [(tan x) + (tan y)]/[1 - (tan x)(tan y)]Tangent difference identity: tan (x - y) = [(tan x) - (tan y)]/[1 + (tan x)(tan y)]
Cos is short for 'Cosine' / It is the complementary curve to 'Sine'.
All three are ratios which do not have units.
sin(x) = cos(pi/2 - x). Thus sine is simply a horizontal translation of the cosine function. NB: angles are measured in radians.
90+ whatever number is in form of sin.
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.
cos(x) = sin(pi/2-x) = -sin(x-pi/2)
No, it does not.
The cosine function on a right triangle is Adjacent leg divided by the hypotenuse of the triangle.
Sine and cosine.
Sine(Sin) Cosine(Cos) Tangent(Tan) ---- -Sin of angle A=opposite leg of angle A / hypotenuse -Cos of angle A= Adjacent leg of angle A / Hypotenuse -Tan of angle A= opposite leg of angle A / Adjacent lef of angle A
Generally, the derivative of sine is cosine.
sin 0 = 0 cos 0 = 1
Sin, cosine, and tangent are considered the three main of trigonometry, commonly written as sin, cos, and tan. sin(θ) = O/H cos(θ) = A/H tan(θ) = O/A Where O is opposite Where H is Hypotenuse Where A is Adjacent To assist further in understanding: http://www.mathsisfun.com/sine-cosine-tangent.html