AnswersDriveEach of the six trig functions is equal to its co-function evaluated at the complementary angle. Periodicity of trig functions. Sine, cosine, secant, and cosecant have period 2π while tangent and cotangent have period π. Identities for negative angles.
1
What is tan equal to?
A convenient mnemonic for remembering the definition of the sine, cosine, and tangent is SOHCAHTOA (sine equals opposite over hypotenuse, cosine equals adjacent over hypotenuse, tangent equals opposite over adjacent). These geometrical objects are then called a tangent line or tangent plane, respectively.
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How do you find tan?
Example
- Step 1 The two sides we know are Opposite (300) and Adjacent (400).
- Step 2 SOHCAHTOA tells us we must use Tangent.
- Step 3 Calculate Opposite/Adjacent = 300/400 = 0.75.
- Step 4 Find the angle from your calculator using tan-1
3
How do you know when to use Sin Cos or tan?
In any right angled triangle, for any angle:
- The sine of the angle = the length of the opposite side. the length of the hypotenuse.
- The cosine of the angle = the length of the adjacent side. the length of the hypotenuse.
- The tangent of the angle = the length of the opposite side. the length of the adjacent side.
4
What is cos over sin?
Each of the six trig functions is equal to its co-function evaluated at the complementary angle. Periodicity of trig functions. Sine, cosine, secant, and cosecant have period 2π while tangent and cotangent have period π. Identities for negative angles.
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What is the Cotangent?
Cosecant, Secant, and Cotangent. In addition to sine, cosine, and tangent, there are three other trigonometric functions you need to know for the Math IIC: cosecant, secant, and cotangent. These functions are simply the reciprocals of sine, cosine, and tangent. Cosecant. Cosecant is the reciprocal of sine.
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What is the rule for Sin Cos Tan?
The functions of sin, cos and tan can be calculated as follows: Sine Function: sin(θ) = Opposite / Hypotenuse. Cosine Function: cos(θ) = Adjacent / Hypotenuse. Tangent Function: tan(θ) = Opposite / Adjacent.
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What is the COT equal to?
The trig function cotangent, written cot θ. cot θ equals or . For acute angles, cot θ can be found by the SOHCAHTOA definition, shown below on the left. The circle definition, a generalization of SOHCAHTOA, is shown below on the right. f(x) = cot x is a periodic function with period π.
8
What is cos sin equal to?
In a right triangle ABC, whose right angle is A, the tangent ratio of the angle B is the opposite leg over the adjacent leg. Therefore, in a right angle triangle, the tangent ratio of an angle, except the right angle, is: tan = sin / cos .
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Is SEC the same as 1 cos?
Secant, cosecant and cotangent, almost always written as sec, cosec and cot are trigonometric functions like sin, cos and tan. Note, sec x is not the same as cos-1x (sometimes written as arccos x). Remember, you cannot divide by zero and so these definitions are only valid when the denominators are not zero.
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What are the three Pythagorean identities?
The identity is given by the formula: (Note that sin2 θ means (sin θ)2). This relation between sine and cosine is sometimes called the fundamental Pythagorean trigonometric identity. Therefore, this trigonometric identity follows from the Pythagorean theorem.
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What is the COT in trig?
cotangent(q) = adj/opp. The functions are usually abbreviated: sine (sin), cosine (cos), tangent (tan) cosecant (csc), secant (sec), and cotangent (cot). It is often simpler to memorize the the trig functions in terms of only sine and cosine: sine(q) = opp/hyp.
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What is a tangent in math?
1.Geometry. A line which touches a circle or ellipse at just one point. Below, the blue line is a tangent to the circle c. Note the radius to the point of tangency is always perpendicular to the tangent line. For more on this see Tangent to a circle.
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How do you find the period?
If your trig function is either a tangent or cotangent, then you'll need to divide pi by the absolute value of your B. Our function, f(x) = 3 sin(4x + 2), is a sine function, so the period would be 2 pi divided by 4, our B value.
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What is cos divided by sin?
The tangent of x is defined to be its sine divided by its cosine: tan x = sin x cos x . The cotangent of x is defined to be the cosine of x divided by the sine of x: cot x = cos x sin x .
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What is the reciprocal of sin?
Cosecant is the reciprocal of sine. Its abbreviation is csc. To determine csc, just flip sin over. Secant is the reciprocal of cosine.
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How do you find a reference angle?
Find the reference angle for 200 degrees:
- Determine the quadrant in which the terminal side lies. A 200-degree angle is between 180 and 270 degrees, so the terminal side is in QIII.
- Do the operation indicated for that quadrant. Subtract 180 degrees from the angle, which is 200 degrees.
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What is the equivalent of Secant?
Here are two helpful hints: Each of those definitions has a cofunction on one and only one side of the equation, so you won't be tempted to think that sec A equals 1/sin A. And secant and cosecant go together just like sine and cosine, so you won't be tempted to think that cot A equals 1/sin A.
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What is CSC?
A Common Service Center (CSC) is an information and communication technology (ICT) access point created under the National e-Governance Project of the Indian government. The project plan includes the creation of a network of over 100,000 CSCs throughout the country.