Trigonometry Answers

Simplify (cos2π/3 + isin2π/3)^1/4 and express the result in a form free from trigonometrically expression.

Expand cos6theta and sin6theta in terms of costheta and sintheta

Prove that the general value of theta which satisfies the equation (costheta+isintheta)×(cos2theta+isintheta).... (Cosntheta+isintheta)=1 is 4mπ over n(n+1) where m is any integer

is the earth flat?

Write tan (-1100) as a positive acute angle.

Give an exact value for Cos 120º.

If θ is an acute angle in standard position and B (-3, 4) is a point on the terminal side of the angle, what is the value of sin θ?

The line y=3x creates an acute angle θ when it crosses the x-axis. Find the exact value of sec θ?

Find the exact value of sin 1350.

Find the exact value of cosec 3000.

The value of Sin 3700 is equal to?

The value of Sin 4200 is equal to?

The value of Sin 4350 is equal to?

The value of Sin 440 degrees is equal to?

A shell when projected at an angle of

tan-1 1/3

to the horizon falls 60 m. short of the target. When

it is fixed at an angle of o

45 to the horizon, it falls 80m beyond the target. How far is the target

from the point of projection?

Given the information below determine an equation for the sinusoidal function.


Time for 1

Rotation (in s): 100

Lowest Point

of the Bucket

(in m): 1.6m

Diameter of

Ferris Wheel

(in m):42 m

Number of

Buckets: 16

Find the coordinates of the following with the given angles:

1.) 540 degrees

2.) 330 degrees

3.) -225 degrees

4.) 13 pi over 2

5.) -17 pi over 6

A tank containing methanol has walls 2.50 cm thick made of glass of refractive index 1.550. light from the outside air strikes the glass at a 41.3 degree angle with the normal to the glass. Find the angle the light makes with the normal in the methanol.(b) The tang is emptied and refilled with an unknown liquid. if light incident at the same angle as in part (a) enters the liquid in the tank at an angle of 20.2 degree from the normal, what is the refractive index of the unknown liquid?