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How are ratios for sin and cosine alike?
sin(x) = cos(pi/2 - x). Thus sine is simply a horizontal translation of the cosine function. NB: angles are measured in radians.
Write the expression in terms of sine and cosine and simplify so that no quotients appear in the final expression. cscx(sinx plus cosx)?
csc(x)*{sin(x) + cos(x)} = csc(x)*sin(x) + csc(x)*cos(x) =1/sin*(x)*sin(x) + 1/sin(x)*cos(x) = 1 + cot(x)
What are inverse sine inverse cosine and inverse tangent used for?
to find the measure of an angle. EX: if sin A = 0.1234, then inv sin (0.1234) will give you the measure of angle A
What are the sum and difference identities for the sine cosine and tangent functions?
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)]
Sine cubed plus cosine cubed divided by sine plus cosine?
[sin(x)^3 + cos(x)^3] / [sin(x) + cos(x)]= [(sin(x) + cos(x))(sin(x)^2 - sin(x)cos(x) + cos(x)^2)] / [sin(x) + cos(x)]***Now you can cancel a "sin(x) + cos(x)" from the top and bottom of the fraction. This makes the bottom of the fraction equal to 1. I am just going to write the next step without a 1 on the bottom of the fraction (x/1=x).So now you just have:= (sin(x)^2 - sin(x)cos(x) + cos(x)^2) *I'm going to move some terms around now. ~Not doing any computation in this step.= (sin(x)^2 + cos(x)^2 - sin(x)cos(x)) *Now we know that cos(x)^2 + sin(x)^2 = 1.= 1 - sin(x)cos(x)
What are the units of sin cosine and tangent?
All three are ratios which do not have units.
How are ratios for sin and cosine alike?
sin(x) = cos(pi/2 - x). Thus sine is simply a horizontal translation of the cosine function. NB: angles are measured in radians.
How do you write the expression sin 37 in terms of cosine?
90+ whatever number is in form of sin.
How does one differentiate between the sine rule and the cosine rule?
The sine rule is a comparison of ratios: (sin A)/a = (sin B)/b = (sin C)/c. The cosine rule looks similar to the theorem of Pythagoras: c2 = a2 + b2 - 2ab cos C.
How do you write cosine in terms of sine?
cos(x) = sin(pi/2-x) = -sin(x-pi/2)
Does cosine equal 1-sin?
No, it does not.
Which ratios correctly describes the cosine function?
The cosine function on a right triangle is Adjacent leg divided by the hypotenuse of the triangle.
What trigonometric ratios cannot be greater than one?
Sine and cosine.
What are the basic trigonometric ratios?
Sine(Sin) Cosine(Cos) Tangent(Tan) ---- -Sin of angle A=opposite leg of angle A / hypotenuse -Cos of angle A= Adjacent leg of angle A / Hypotenuse -Tan of angle A= opposite leg of angle A / Adjacent lef of angle A
Sin and cosine values of 0?
sin 0 = 0 cos 0 = 1
What is the Derivative of sin?
Generally, the derivative of sine is cosine.
What are trigometric ratios?
Trigonometric ratios are ratios of the sides of a right triangle, involving the lengths of the sides and the angles of the triangle. The main trigonometric ratios are sine, cosine, and tangent, which are abbreviated as sin, cos, and tan respectively. These ratios are used in trigonometry to relate the angle of a right triangle to its side lengths.
