Prove (cos x + cos y)^2 + (sin x - sin y)^2 = 4 cos^2((x+y)/2)

preview_player
Показать описание
In this video, we will learn to prove the equation (cos x + cos y)^2 + (sin x - sin y)^2 = 4 cos^2((x+y)/2).

The link of the video explaining, the proof of the identity cos 2x = 2 cos^2 x - 1 has been given below

Other topics of this video are:
Class XI miscellaneous exercise problem 3
NCERT Class XI miscellaneous exercise problem 3

I, Ravi Ranjan Kumar Singh, have produced this video. All credits of this video belong to me.

  1. Ravi Ranjan Kumar Singh
  2. (cos x cos y)^2 (sin x - sin y)^2 = 4 cos^2((x y)/2)
  3. Prove (cos x cos y)^2 (sin x - sin y)^2 = 4 cos^2((x y)/2)
  4. Prove the equation (cos x cos y)^2 (sin x - sin y)^2 = 4 cos^2((x y)/2)
  5. Class XI miscellaneous exercise problem 3
  6. NCERT Class XI miscellaneous exercise problem 3
Рекомендации по теме
Verify the Trigonometric 0:02:55

Verify the Trigonometric Identity cos(pi + x) = -cos(x)

Prove cos inverse 0:04:08

Prove cos inverse derivation formula Trig Calculus

cos(3x) in terms 0:04:46

cos(3x) in terms of cos(x)

Trigonometry Identities: sin(-x) 0:03:47

Trigonometry Identities: sin(-x) = - sin(x) and cos(-x) = cos(x)

prove cos(x - 0:00:55

prove cos(x - 2pi) = cosx

Trigonometry Proof: cos 0:07:25

Trigonometry Proof: cos (x + y) = cos x cos y – sin x sin y (https://youtu.be/b0o_dvFkYbU)

Derivative of sin(x) 0:09:18

Derivative of sin(x) and cos(x), PROOF

Prove that 🔥 0:15:42

Prove that 🔥 cos (x + y) = cosx cosy - sinx siny 🔥 Full derivation by #mathemafia

prove that sin 0:03:42

prove that sin inverse X + cos inverse X is equal to π/2

Proof of the 0:03:18

Proof of the derivative of cos(x) | Derivative rules | AP Calculus AB | Khan Academy

Using Euler's formula 0:04:45

Using Euler's formula to verify cos(x+y)=cosxcosy-sinxsiny

Prove that 🔥 0:02:59

Prove that 🔥 cos (x - y) = cosx cosy + sinx siny 🔥 Simple proof by #mathemafia

Prove that `cos(x+y)=cosxcosy-sinxsiny` 0:09:43

Prove that `cos(x+y)=cosxcosy-sinxsiny`

Verify the Trigonometric 0:03:13

Verify the Trigonometric Identity cos(x - pi) = -cos(x)

prove geometrically that 0:14:19

prove geometrically that cos(x+y) = cosx cosy - sinx siny | 💯 guaranteed question | class : 11

PreCalculus - Trigonometry: 0:02:36

PreCalculus - Trigonometry: Trig Identities (31 of 57) Proof cos^2(x)=(1+cos2x)/2

Prove that the 0:05:42

Prove that the Functions sin(x), cos(x), and x are Linearly Independent over the set of Real Numbers

C𝗼𝘀 (-𝘅) = 0:06:20

C𝗼𝘀 (-𝘅) = C𝗼𝘀 (𝘅) but WHY ❓

Cos(x+y)=Cosx Cosy - 0:19:55

Cos(x+y)=Cosx Cosy - Sinx Siny

Prove (1 - 0:00:51

Prove (1 - sin x)/cos x = cos x / 1 + sin x

Verify the Trig 0:02:59

Verify the Trig Identity (cos(x)/sin(x)) + (sin(x))/(cos(x)) = sec(x)csc(x)

XI Trigonometric Functions 0:05:15

XI Trigonometric Functions Prove that cos^2 x + cos^2x + π 3+ cos^2x π 3 3 2

sin^2(x) + cos^2(x) 0:02:04

sin^2(x) + cos^2(x) = 1 Trig Identity Graphical Proof

How to prove 0:07:12

How to prove Cosx + Cosy = 2Cos(x +y)/2 × Cos(x-y)/2 । Trigonometry Formula Proofs (hindi)