Trigonometry Answers

Express sin(-36degrees) in terms of a) the sin of an acute angle and b) the cosine of an acute angle.

Given that sin(theta)=15/17 and theta is in quadrant 2, determine sin(2theta), cos(2theta), and tan(2theta) Which quadrant is 2theta in?

three bottle of perfume come in a special gift set. Each bottle in its own individual canister.Then the three canisters are placed in one gift set. Each canister has a radius of 5cm. and all three canisters touch each other in the gift box. what is the are of the space between the canisters?.

Find the area of the triangle, is side a=12.7, side b=8.6 and the angle between them(C) is
73 degrees. Hint: Find the area using the formula
Area=(1/2)*a*b*sin(C).

Use the formula: Area = ½ ab sin (C).

Use the Law of Sines to find the length of side b in the following triangle.
Hint: (sin(A)/a)=(sin(B)/b)
B
c a

A C
b

If m<A = 47 degrees
m<B = 53 degrees
Length of side a = 7 feet

Moe, Larry, and Curly are each pulling on a
mule with a vector force described as

M = -7i -4j

L = -5i + 6j

C = 15i +1j

Find the Resultant by putting into i j format
and find the Magnitude of the resultant force
on the box. Draw all vectors. Now describe the Bearing of the Resultant using NSEW
and the corresponding directional angle.

Use the Law of Cosines to find all the interior angles of a triangle having sides that
measure 12.6 feet, 7.4 feet, and 8.2 feet. Use Heron's formula to find the area of the triangle.

Find the area of the triangle, is side a=12.7, side b=8.6 and the angle between them(C) is
73 degrees. Hint: Find the area using the formula
Area=(1/2)*a*b*sin(C).

Given the trigonometric function
y = 120 sin ((Pi/6)*x - Pi/3) where x is in radians representing seconds
a._______________ is the amplitude of the
function.
b._______________radians is the period of the
function in seconds which is _________________hertz.(cycles per second)
c._______________radians is the phase shift(right or left

Solve for exact solutions over [0,2pie) interval.
sin^2 x/2-2=0