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sin(x) = cos(pi/2 - x). Thus sine is simply a horizontal translation of the cosine function.
NB: angles are measured in radians.
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How do you write ratios for sin and cosine?
sin = opp/hyp cos = adj/hyp tan = opp/adj
What are inverse sine inverse cosine and inverse tangent used for?
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
What are the sum and difference identities for the sine cosine and tangent functions?
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)]
What is cosine cubed?
It is cosine*cosine*cosine.
What is sin-cos?
Sin is sine. Cos is cosine. http://en.wikipedia.org/wiki/Sine_curve http://en.wikipedia.org/wiki/Cosine_curve In terms of trigonometric identities sin2A=2sinAcosA cos2A=cos2A-sin2A sin2A-cos2A=2sinAcosA-cos2A+sin2A === === sin(A) - cos(A) = sqrt(2)sin(A-45)
What are the units of sin cosine and tangent?
All three are ratios which do not have units.
How do you write ratios for sin and cosine?
sin = opp/hyp cos = adj/hyp tan = opp/adj
How does one differentiate between the sine rule and the cosine rule?
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.
Does cosine equal 1-sin?
No, it does not.
Which ratios correctly describes the cosine function?
The cosine function on a right triangle is Adjacent leg divided by the hypotenuse of the triangle.
What trigonometric ratios cannot be greater than one?
Sine and cosine.
What are the basic trigonometric ratios?
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
What is the Derivative of sin?
Generally, the derivative of sine is cosine.
Sin and cosine values of 0?
sin 0 = 0 cos 0 = 1
Why is calculus important to trigonometry?
In advanced mathematics, familiar trigonometric ratios such as sine, cosine or tan are defined as infinite series. For example, sin(x) = x - x3/3! + x5/5! - ... Such series are used to calculate trig ratios and the proof of their their convergence to a specific value depends on calculus.
What is Sin cosine and tangent?
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
What are the trignometric ratios?
There are three trigonometrical ratios for finding the angles and lengths of a right angled triangle and they are tangent, cosine and sine usually abbreviated to tan, cos and sin respectively. tan = opp/adj cos = adj/hyp sin = opp/hyp Note that: opp, adj and hyp are abbreviations for opposite, adjacent and hypotenuse sides of a right angled triangle respectively.
