Question

33. Consider equation (x - sin a) (x -- cos a) - 2 = 0. Which of
following are true, If 0<a<π/4 ​

Answer 1

Answer:

Reason is true.

Assertion:f(x)=(x−sinα)(x−cosα)−2

f(sinα)=−2<0

f(cosα)=−2<0.

Then there exists no roots in (sinα,cosα).