if x=1 , what is sin(x)?

Question

i want to know , while calculating problems , i get into equations like when x=2, x=3 ....i got to solve cos(x) or sin(x).
so how do i solve that ?

Answer 1

The sin function is a series.

If x is in radians, then sin(x) =
x - (x^3)/3! + (x^5)/5! - (x^7)/7! + ...

where ! indicates a factorial (the product of all the integers from 1 to the number indicated -- for example, 5! = 1*2*3*4*5 = 120)

cos(x) = 1 - (x^2)/2! + (x^4)/4! - (x^6)/6! + ...

In either case, you stop whenever you have reached the accuracy that you need for your calculation. For a small x (less than 1), x^10 is much smaller than 1 and 10! = 3,628,800; so if you make it to that level, then you are only affecting the 7th decimal.

with x=1, the calculation is easy (even if long, tedious).

Sin(1) = 1 - 1/3! + 1/5! - 1/7! + 1/9! - ...
Sin(1) = 1 - 1/6 + 1/120 - 1/5040 + 1/362,880 - ...

In real life, we look it up (in a table) or ask a machine to do it for us.

If you use your calculator, make sure that it can work with radians (you may have to shift a key at some point). If not, then multiply the angle by 180/pi.

Thus, one radian is approximately 57.29577951 degrees.

The Excel spreadsheet works ONLY in radians.

So if you go into a cell and type
=SIN(1)
you will get the sine of 1 radian.

in Excel, the problem is finding sines of angles in degrees where you have to transform the degrees into radians.

Answer 2

Sin Of 1

Answer 3

Unless otherwise stated, all those x's are radians. sin(1) means sin(1 radian) = ?
You'll have to use the tables (or calculators) to find their values. To convert radians to degrees, multiply by 180/PI, where pi=3.14159.
sin(1)=0.8414
1 radian is 57.3 degrees (approximately).

Answer 4

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RE:
if x=1 , what is sin(x)?
i want to know , while calculating problems , i get into equations like when x=2, x=3 ....i got to solve cos(x) or sin(x).
so how do i solve that ?

Answer 5

x is an angle here. Well, there are two most common units for angle:
one is the degree and the other is the radian. I assume your x is in radian. So, if that is the case, you can simply set your scientific calculator to radian mode. Then you're ready.....

sin(2) = 0.909297426
sin(1) = 0.841470984
sin(3) = 0.141120008
..... and so on and so forth.....

Hope I help.

teddy boy

Answer 6

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cos^2(x) = 1-sin^2(x) = (1+sinx)(1-sinx)

Answer 7

when you have a real number...

then ... sin(1) means sin(1 radian) ≈ 0.84147

so say... you have

f(x) = x + sin(x)

then f(1) ≈ 1.84147


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Answer 8

sin(1), sin(2), ...
cos(1), cos(2),...