Trigonometry Answers

If 6 ΦcosΦ + 2 sin²Φ =5, show that tan²Φ - ⅓

If cosΦ = C, express in terms of C tan² Φ + 2 cos Φ

if a+b+c=pie then prove that cosa*cosa+cosb*cosb+cosc*cosc=1-2cosa*cosb*cosc

sinA+sin2A/1+cosA+cos2A=tanA

In the diagram shown to the right, you are given that the line containing A-E is parallel to the line containing B-D. Given that the length of A-C is 10cm, (this is denoted A-C= 10cm) and that. A-B = 5.5 cm and that C-D = 4.75 cm, determine the length of CE.

If Sin A = 6/10 and Tan B = 5/12 where A and B are acute angles, find Sin (A+B), and cos 2B without using a calculator. All calculations must be carried out as fractions.

A person 55​-ft tall casts a shadow 1111​-ftft long. At the same​ time, a nearby tree casts a shadow 3131​-ft long. Find the height of the tree.

Determine the Fourier transform of the function :
{ 1-t 0≤t≤1
f(t)= { 1+t -1≤t≤0
{ 0 otherwise

If f(x)=cosx and x=2pie\15
Prove that 16f(x)f(2x)f(4x)f(7x)=1

1.Express cos4tita in terms of powere of
cos tita
2.G iven that sin tita=-3/5 and cos alpha=-2/5. Find sin(A+B) if 1. tita and alpha are acute 2. tita is acute and alpha is obtuse