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What are the sum and difference identities for the sine cosine and tangent functions?
Wiki User
∙ 12y ago
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)]
Wiki User
∙ 12y ago
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Why is the secant function is an even function and the tangent and cosecant are odd functions?
I find it convenient to express other trigonometric functions in terms of sine and cosine - that tends to simplify things. The secant function is even because it is the reciprocal of the cosine function, which is even. The tangent function is the sine divided by the cosine - an odd function divided by an even function. Therefore it is odd. The cosecant is the reciprocal of an odd function, so it is naturally also an odd function.
What dies COS stand for on calculator?
"COS" stands for "Cosine", which is one of the 6 trigonometric functions. Similarly, "SIN" stands for Sine, and TAN stands for Tangent.
What is a sohcahtoa useful for?
A way to remember the definitions of the three most common trigonometry functions: sin, cos and tan. Used as a memory aid for the definitions of the three common trigonometry functions sine, cosine and tangent.
How is tangent defined?
The tangent of an angle theta is defined as sine(theta) divided by cosine(theta). Since the sine and cosine are Y and X on the unit circle, then tangent(theta) is Y divided by X. The tangent of a function at a point is the line going through that point which has slope equal to the first deriviative of the function at that point.
A ratio of the lengths of two sides of a right triangle?
Sine Cosine Tangent Cotangent Secant Cosecant
What is difference of using sine to cosine and tangent?
They are different trigonometric functions!
What are the trigonometric functions?
sine, cosine, tangent, cosecant, secant and cotangent.
What are circular functions?
Sine, Cosine, Tangent, Cotangent, secant and cosecant
What are functions in trigonometry?
The basic functions of trigonometry are: sine cosine tangent secant cosecant cotangent
What are the six trigonometric functions?
Sine Cosine Tangent ArcSine ArcCosine ArcTangent
How does the tangent function relate to sine and cosine?
Tangent = sine/cosine provided that cosine is non-zero. When cosine is 0, then tangent is undefined.
How do you find theta for right triangle?
You can use your trigonometric functions (sine, cosine, and tangent).
What is trigonometry's circular function?
The basic circular functions are sine, cosine and tangent. Then there are their reciprocals and inverses.
What are the six trigonometric functions of special angles?
sine, cosine, tangent, cosecant, secant and cotangent.
What are the trigonometric function of an acute angle?
The trigonometric functions are sine, cosine and tangent along with their reciprocals and the inverses. Whether the angle is acute or obtuse (or reflex) makes no difference).
How do you find an angle using sine cosine tangent?
If you know the angle's sine, cosine, or tangent, enter it into the calculator and press <inverse> sine, cosine, or tangent. On MS Calc, in Scientific Mode, using Degrees, enter 0.5, then check Inv and the press sin. You should get 30 degrees. The other functions work similarly.
How do you solve tangent cosine tangent-cosine.?
It isn't clear what you want to solve for. To solve trigonometric equations, it often helps to convert other angular functions (tangent, cotangent, secant, cosecant) into the equivalent of sines and cosines. However, the details of course depend on the specific case.
