Prove that,(cos alpha + cos beta)^2 +(sin alpha +sin beta)^2 =4cos^2(alpha -beta/2)
Md Owaish khan , 3 Years ago
Grade 11
Trigonometry> Prove that,(cos alpha + cos beta)^2 +(sin...
2 Answers
Vikas Amritiya
Last Activity: 3 Years ago
Q n : Prove that , (cos alpha + cos beta)^2 +
(sin alpha + sin beta ) ^2 =
4cos^2(alpha -beta/2)
cos alpha + cos beta)^2 +(sin alpha +sin bet
Somya
Last Activity: 3 Years ago
(cos alpha + cos beta) ² + (sin alpha + sin beta) ² = cos²alpha + sin²alpha + cos²beta + sin² beta + ( cosalpha *cosbeta + sinalpha* sin beta)
=2 + 2 ( cos (alpha-beta))
2( 2 cos²((alpha - beta/)2) { 1 + cos 2@ = 2 cos²@/2}
- = 4 cos²( (alpha - beta)/2) = Rhs
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