How do you prove this trigonometric relationship sin3A equals 3sinA cos 2 A - sin 3 A?
sin(3A) = sin(2A + A) = sin(2A)*cos(A) + cos(2A)*sin(A)= sin(A+A)*cos(A) + cos(A+A)*sin(A)
= 2*sin(A)*cos(A)*cos(A) + {cos^2(A) - sin^2(A)}*sin(A)
= 2*sin(A)*cos^2(A) + sin(a)*cos^2(A) - sin^3(A)
= 3*sin(A)*cos^2(A) - sin^3(A)
sec2(x) - tan2(x)
= 1/cos2(x) - sin2(x)/cos2(x)
= (1 - sin2(x)) / cos2(x)
= cos2(x) / cos2(x)
= 1
Where does the word iridescent come from?
The word is derived in part from the Greek word, Iris, meaning "rainbow," which in turn is derived from the goddess, Iris, the personification of the rainbow. She acted as a messenger of the gods. The rainbow unites earth and heaven, linking the gods to humanity. Iris travels the speed of wind, from one end of the world to the other, and into the depths of the sea and the underworld. Iris was said to have golden wings, and her twin sister, Arkhe, to have iridescent ones. During the Titan war, Zeus tore Arkhe's iridescent wings from her, and gave them as a gift to Nereid Thetis at her wedding. Nereid Thetis, then in turn, gave the wings to her son, Achilles, who wore them on his feet. Achilles was then known as Podarkhes, or "wing-footed with Arkhe's wings."
What quadrant in standard position is -305 degrees?
-305 degrees would be equal to 55 degrees, which can be found in quadrant one in the standard position.
There cannot be a proof since the statement need not be true.
6 is what percent of 90 = 6 / 90 = 0.066667
Converting decimal to a percentage: 0.066667 * 100 = 6.67%
How do you verify cos2 theta divided by csc2 theta plus cos4 theta equals cos2 theta?
Using x instead of theta, cos2x/cosec2x + cos4x = cos2x*sin2x + cos4x
= cos2x*(sin2x + cos2x)
= cos2x*1 = cos2x
cos x = 0; 0 ≤ x ≤ 360°
x = 90° or x = 270° ( 90° + 180°)
Why does sin 2pi over 6 radians equal .5?
Sin(2*pi/6) = sin(pi/3) which, by definition, is 0.5
If you wish, you can calculate
y/1! - y^3/3! + y^5/5! - y^7/7! + ... where y = pi/3.
What is the size of an angle when the sine is point6352?
39o26' (to the nearest minute)
Explanation:
Let the angle = θ
sinθ = 0.6352
To find the angle of sinθ, you must apply sin-1 to sinθ.
sin-1θ = 39o26'5.35"
> square the 1st term
>twice the product of the first and last term
>square the last term
How do you find the cosine of a number?
Use a calculator or computer.
You could convert the angle from degrees to radians.
Then, if the angle is x radians,
cos(x) = 1 - x^2/2! + x^4/4! - x^6/6! - ...
But be warned: this is an infinite series.
It is 889,877,761,663,555
What is a horizontal projectile?
horizontal projectile means to project horizontaly from any height h and it forms equation of parabola if we throw any object it goes horizontal and after this it goes down and by the equation s=ut+1/2at*twe can find following things from it
# time ofprojectile
# distance travelled
#effect of gravity
How do you calculate the sine of an angle?
If you have a right angled triangle, then:
sin(angle) = opposite_side/hypotenuse
Otherwise, if the angle (x) is expressed in radians, it can be calculated by the infinite sum:
sine(x) = x - x3/3! + x5/5! - x7/7! + ...
where the rth term (r ≥ 1) is:
x(2r-1)/(2r-1)! (-1)r-1
How to solve Log 2 Log 2 Log 2 X equals 0 here 2 is the base not any number?
I guess you mean log2{log2[log2(x)]} = 0 ?
Let Y = {log2[log2(x)]}, so you have log2[Y] = 0
The solution to this is Y = 1,
Then you a simpler equation: log2[log2(x)] = 1
Let Z = log2(x), so log2[Z] = 1, solves to Z = 2,
so log2(x) = 2, and x = 4
The secant modulus is the total stress or strain on an object as described by a stress-strain graph. The tangent modulus is the marginal strain.
What is the least value of sine of x?
-1. This is attained for x = 270 degrees ( + k*360 degrees for all integers k)
What is the value of Tan 2π over 3?
Sin (2π/3) =√3/2
Cos (2π/3) =-0.5
Since Tan = Sin/Cos
Tan (2π/3) = (√3/2)/(-0.5) = -√3