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If cos?+sin? = √2 cos?, prove that cos? - sin? = √2 sin ?.
Ans: Cos? + Sin? = √2 Cos?
⇒ ( Cos? + Sin?)2 = 2Cos2?
⇒ Cos2? + Sin2?+2Cos? Sin? = 2Cos2?
⇒ Cos2? - 2Cos? Sin?+ Sin2? = 2Sin2? ( ∴2Sin2? = 2 - 2Cos2?)
⇒ (Cos? - Sin?)2 = 2Sin2? (1- Cos2? = Sin2? & 1 - Sin2? = Cos2?)
or Cos? - Sin? = √2 Sin?.
simplify the following: 3^5/2-3^1/2
(a+b+c)2=
Complex numbers from the eigenvector and the eigenvalue. Example1 : Solve the following IVP. We first require the eigenvalues and eigenvectors for the given matrix.
(3+2)^2+1-3^2.5
sir kindly guide me in 1st order linear equations.
all formulas of plane figures
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