Question

If Sine alpha+cos beta=2,then find the value of cos square alpha+cos square beta??

Answer 1

Sin α + cos β = 2

Now, squaring both sides,

( sin α + cos β ) ² = 2 ²

Sin² α + cos² β + 2 sinα cos β = 4

Sin ² α + cos² β = 4 - 2 sin α cos β

So, value of Sin ² α + cos² β = 2 ( 2 - sin α cos β ).