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By using trigonometric identities find the value of sin A if tan A equals a half?
If tan A = 1/2, then sin A = ?
We use the Pythagorean identity 1 + cot2 A = csc2 A to find csc A, and then the reciprocal identity sin A = 1/csc A to find sin A.
tan A = 1/2 (since tan A is positive, A is in the first or the third quadrant)
cot A = 1/tan A = 1/(1/2) = 2
1 + cot2 A = csc2 A
1 + (2)2 = csc2 A
5 = csc2 A
√5 = csc A (when A is in the first quadrant)
1/√5 = sin A
√5/5 = sin A
If A is in the third quadrant, then sin A = -√5/5.
What else can I help you with?
What is the arc function for trigonometric relationships?
The trigonometric function of an angle gives a certain value The arc trigonometric function of value is simply the angle For example, if sin (30 degrees) = 0.500 then arc sine ( 0.500) = 30 degrees
What is the trigonometric sine value of 9 degrees 59 minutes?
It is 0.1734
How do you find trigonometric ratios without a calculator?
There are a few ways. First, there are a multitude of trigonometric tables which list the sines and cosines of a variety of values. if you now one trigonometric value of a number, you can find all the others by hand, and you can also use a Taylor series approximation to find a fairly accurate value. (In fact, many calculators use Taylor series to find trigonometric values.)
What are identities in algebra?
An equation in which the variable(s) can take any value and it is still true. ex. cos(x) = cos(-x) sin(x) = -sin(-x) The above equations are true for any real value of x. Identities are sometimes written with a "triple equals sign", as in 3 parallel lines rather than 2.
How do you work out sine cosine and tangent without a calculator and without the sohcahtoa method I was just wondering if there is an equation to work them out just tan theta is equal to something?
trigonometric tables can be be used for this purpose. but to calculate the values without any external help, one can use the traditional method of derivation using different geometrical figures. for example the value of sine 600 can be calculated using an equilateral triangle. the ratio of altitude to half the length of side is (sq.root of 3)/2. but that is also sine600. but that is a tedious method of calculation. it is much easier to remember the rational or irrational values of standard angles like 300 450 600 750 900. the values of few other angles can be calculated from these using trigonometric identities and other formulae.
What does trigonometric identities all about?
They are true statements about trigonometric ratios and their relationships irrespective of the value of the angle.
By using trigonometric identities find the value of sin A if tan A a half?
The value of tan A is not clear from the question.However, sin A = sqrt[tan^2 A /(tan^2 A + 1)]
Why do you solve trigonometric equations?
Use trigonometric identities to simplify the equation so that you have a simple trigonometric term on one side of the equation and a simple value of the other. Then use the appropriate inverse trigonometric or arc function.
What is value of 0 deger in trigonometric?
The value is 0.
What is the arc function for trigonometric relationships?
The trigonometric function of an angle gives a certain value The arc trigonometric function of value is simply the angle For example, if sin (30 degrees) = 0.500 then arc sine ( 0.500) = 30 degrees
How do numbers affect the trigonometric function?
Trigonometric functions are defined from a numeric domain to a numeric range. So the input number determines whether or not the function is defined for that value and, if so, what the value of the function is.
What is the trigonometric sine value of 9 degrees 59 minutes?
It is 0.1734
What expressions that have the same value are called?
They are identities.
How do you find trigonometric ratios without a calculator?
There are a few ways. First, there are a multitude of trigonometric tables which list the sines and cosines of a variety of values. if you now one trigonometric value of a number, you can find all the others by hand, and you can also use a Taylor series approximation to find a fairly accurate value. (In fact, many calculators use Taylor series to find trigonometric values.)
What trigonometric function gives the value of pi?
arcsin(1) arccos(0)
What are algebraic identities?
An equation in which the variable(s) can take any value and it is still true. ex. cos(x) = cos(-x) sin(x) = -sin(-x) The above equations are true for any real value of x. Identities are sometimes written with a "triple equals sign", as in 3 parallel lines rather than 2.
What are identities in algebra?
An equation in which the variable(s) can take any value and it is still true. ex. cos(x) = cos(-x) sin(x) = -sin(-x) The above equations are true for any real value of x. Identities are sometimes written with a "triple equals sign", as in 3 parallel lines rather than 2.
