Question

Solve
cos
$\alpha$
= sin
$\alpha$


​

Answer 1

Answer:

Step-by-step explanation:

Cos α = Sin α

⇒ Cos α = Cos {(π/2)- α}                {∵ Cos (π/2-α) = Sin α}

Now, Using general solution,

⇒ (π/2)- α = 2nπ ± α

⇒ π/2 - α = 2nπ + α                     or                    π/2 - α = 2nπ - α

⇒   α = -{(4n + 1)π}/4   , n∈Z

In this question 2nd case is not possible because there is no integral value of n that satisfies above eqation.

Hope you understand it !!!!!