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Both the sine and the inverse sine (and similar trigonometric functions) are complicated to calculate. Therefore, you either look it up in a table, or use a scientific calculator. Some values, you should know by heart.
Let's try an example: sin x = 0. This asks for the inverse sine, and you can have a calculator calculate it. But you should already know that the sine of 0 is zero, so that is one solution - incidentally, the solution which a calculator gives you if you ask for inverse sine, arc-sine, or something similar (you will usually have to press a special key before the sine function, to get the inverse sine - read the instructions for your calculator).
But the sine of x is also equal to zero for an angle of 180 degrees, of 360 degrees, etc. - repeating every 180 degrees (or every pi radians).
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If y varies directly with x and y equals 6 and x equals -3 find y when x equals 4?
y/x is a constant; so first of you can solve for this constant. y/x=6/-3, or y/x=-2 y/4=-2 y=-8
How do you solve csc x sin x equals cos x cot x plus?
Suppose csc(x)*sin(x) = cos(x)*cot(x) + y then, ince csc(x) = 1/sin(x), and cot(x) = cos(x)/sin(x), 1 = cos(x)*cos(x)/sin(x) + y so y = 1 - cos2(x)/sin(x) = 1 - [1 - sin2(x)]/sin(x) = [sin2(x) + sin(x) - 1]/sin(x)
How do you prove the following identity sec x - cos x equals sin x tan x?
you need this identities to solve the problem..that is something you have to memorized sec x= 1/cosx 1-cos2x= sin2x tanx= sin x/cosx also, sin 2x= (sinx)(sinx) sec x - cosx= sin x tanx (1/cosx)-cosx= sin x tanx .. 1-cos2x / cosx=sin x tanx sin2x/ cosx= sin x tanx (sin x/cox)( sin x)= sin x tanx tanx sinx= sin x tanx
Is Sin x a constant?
No, it's a function.
When you solve for x what is x plus 13 equals 22?
X +13 equals 22, X equals nine
How do you solve Sin x plus sin 3x plus sin 5x plus sin 7x equals?
sin7x-sin6x+sin5x
How do you solve sec x sin x?
There is nothing to solve in this equation because there is no =. If you accidentally omitted what the expression equals then resubmit it and I'll be happy to look at it
How do you solve Sin x sec x equals tan x?
Cos x = 1 / Sec x so 1 / Cos x = Sec x Then Tan x = Sin x / Cos x = Sin x * (1 / Cos x) = Sin x * Sec x
How do you solve y equals -10 sin 5x?
y=-10 sin 5x sin 5x=y/-10 x=asin(y/-10)/5
How do you solve for sin PI x equals 0?
If sin(πx) = 0, then x must be an integer, as the only angles with a sine of zero are multiples of π. You could say then that x ∈ ℤ
Solve 3sin x equals 2 for 0x360?
3 sin(x) = 2sin(x) = 2/3x = 41.81 degreesx = 138.19 degrees
How do you solve the trigonomic equation sin2x equals negative cosx?
Sin(2x) = -cos(x)But sin(2x) = 2 sin(x) cos(x)Substitute it:2 sin(x) cos(x) = -cos(x)Divide each side by cos(x):2 sin(x) = -1sin(x) = -1/2x = 210°x = 330°
Solve sin 5x plus sin x equals 0?
Assuming the angles are expressed in radians:sin(5x) + sin(x) = 0∴ sin(5x) = -sin(x)∴ 5x = x + π∴ x = π/4On the other hand, if your angles are in degrees, then the answer would be:sin(5x) + sin(x) = 0∴ sin(5x) = -sin(x)∴ 5x = x + 180∴ x = 180°/4∴ x = 45°
If y varies directly with x and y equals 6 and x equals -3 find y when x equals 4?
y/x is a constant; so first of you can solve for this constant. y/x=6/-3, or y/x=-2 y/4=-2 y=-8
When does cos x equal -sin x?
The derivative of cos(x) equals -sin(x); therefore, the anti-derivative of -sin(x) equals cos(x).
How do you solve csc x sin x equals cos x cot x plus?
Suppose csc(x)*sin(x) = cos(x)*cot(x) + y then, ince csc(x) = 1/sin(x), and cot(x) = cos(x)/sin(x), 1 = cos(x)*cos(x)/sin(x) + y so y = 1 - cos2(x)/sin(x) = 1 - [1 - sin2(x)]/sin(x) = [sin2(x) + sin(x) - 1]/sin(x)
How do you solve sin x plus cos x equals zero?
The statement of the problem is equivalent to sin x = - cos x. This is true for x = 135 degrees and x = -45 degrees, and also for (135 + 180n) degrees, where n is any integer.
