Find the maximum and minimum values, if any, of the following functions given by (iii) h(x) = sin(2x) + 5

Solution: (i) It is not true, in general. This relation is true for some particular values of A and B. For example, if A = 0 and B = 90, Then, Sin (A+B)...

Solution: cos x + sinx = √ 2 cos x , then (√2 -1 ) cos  x = sin x on multiplying both sides by (√2+1) , we get (√2+1)(√2-1) cos x  = ...

Solution: cos(π/4 - x) cos(π/4 - y) - sin(π/4 - x)sin(π/4 - y) Using formula: cosA.cosB-sinA.sinB=cos(A+B) cos(π/4 - x) cos(π/4 - y) - sin(π/4 - x)sin(π/4 - y) =cos{(π/4 - x)+(π/4 - y)} =cos{π/4 -...

f(x)=sin 2x+5 We know that, -1≤sinӨ≤1 -1≤sin2x≤1 Adding 5 on both sides,  -1+5≤sin2x+5≤1+5 4≤sin2x+5≤6 Hence  Max value of f(x)=sin2x+5 will be 6 Min value of f(x) =sin2x+5 will be 4

Sir, I'm  not getting your answer of my own question.

(iii) The given function is f(x) = − (x − 1)2 + 10. It can be observed that (x − 1)2 ≥ 0 for every x ∈ R. Therefore, f(x) = −...

(iv) The given function is g(x) = x3 + 1. Hence, function g neither has a maximum value nor a minimum value.

(iv)f(x) = |sin4+3| We know that −1 ≤ sin 4x ≤ 1. ∴ 2 ≤ sin 4x + 3 ≤ 4 ∴ 2 ≤ |sin4+3| ≤ 4 Hence, the maximum and minimum values of...

The correct answer is (b) δ