SOLUTION: Prove the following is an identity (5 cos E - 2 sin E)^2 + (2 cos E + 5 sin E)^2 =29

Question 519724: Prove the following is an identity
(5 cos E - 2 sin E)^2 + (2 cos E + 5 sin E)^2 =29
Answer by Aswathy(23) (Show Source): You can put this solution on YOUR website!
First before checking out the answer just check out the RHS side of your question.
LHS=(5cos E - 2sin E)^2 + (2cos E +5 sin E)^2
=25cos^2E-20cosEsinE + 4sin^2E + 4cos^2E +20cosEsinE+25sin^2E
=1+0+1 (using identity cos^2E+sin^2E=1)
=2
=RHS
RELATED QUESTIONS
Trying to prove this is an identity. cos^3 J sin^2 J = cos^3 J - cos^5... (answered by lwsshak3)

Trying to prove this is an identity. cos^3 J sin^2 J = cos^3 J - cos^5... (answered by Aswathy)

Prove the following is an identity csc D cos^2 D + sin D = csc... (answered by Alan3354)

Prove each identity: c) cos^2θ=(1-sinθ)(1+sinθ) d)... (answered by lwsshak3)

Prove the following identity : (cos^2 theta - sin^2 theta)/(cos^2 theta + sin theta cos... (answered by MathLover1)

the expression sin^2(0)-4+cos^2(0) is eqquivalent to: a)-5 b)-4 c)-3 d)3... (answered by richard1234)

Prove the following identity. (sin x * tan x + cos x)/ (cos x) = sec^2... (answered by robertb)

Prove the following identity Csc x - 2 sin x= cos (2x)/sin... (answered by stanbon)

Prove the following trig identity: tan x *sin^2 x + sin x*cos x = tan... (answered by greenestamps)