Trigonometry

It is where the x and y coordinates intersect.

y = x - 4/x

so gradient = dy/dx = 1 + 4/x2

When y = 3, x - 4/x = 3

x2 - 3x - 4 = 0 so x = -1 or x = 4

When x = -1, gradient = 1 + 4/(-1)2 = 1 + 4/1 = 1+4 = 5

When x = 4, gradient = 1 + 4/(4)2 = 1 + 4/16 = 1+1/4 = 1.25

tan(6 deg) = 0.1051 approx.

sine(15 degrees) = 0.25882 (rounded)

tan (theta x theta) : must square the value of the angle, theta, before applying the trig function, tangent.

Then it has (not have!) a unique solution.

The number nine is a composite number (3 x 3 = 9) and it is a square number (32 = 9). It is a divisor of any number that has digits having the sum of nine or a multiple of 9 (For example, the digits in 367,218 add up to 27, which is a multiple of 9, and the digits in 27 also add up to 9)

130

Angles are represented by capital letters. Small letters refer to sides.

Yes

The definiton of period (T) . Is T = 1/f ; Therefore if you know that the period is 2.5

A triangular prism

(Two triangles as the two bases)

It is 1.

30"x60" and 45"

It is 2.5699, approx.

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)

grouth

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."

There cannot be a proof since the statement need not be true.

.99

-305 degrees would be equal to 55 degrees, which can be found in quadrant one in the standard position.

16.2295

Using x instead of theta, cos2x/cosec2x + cos4x = cos2x*sin2x + cos4x

= cos2x*(sin2x + cos2x)

= cos2x*1 = cos2x