Question

A quantity is given by Q = sinx + cosx. Maximum value of Qis
1
√2
√3
1√2​

Answer 1

Answer:

√2 is ans

Explanation:

i hope its help to you ✌

Answer 2

Given:

Q = sinx + cosx

To Find:

Maximum value of the given function ?

Solution:

Q = sinx + cosx

[ According to trigonometry;

Maximum value for sin and cos function is given by,

let a function f(x) = asinx + b cosx

Thus, maximum f(x) = $\sqrt{a^{2} +b^{2} }$ ]

Therefore, in given question,

a = 1 ; b = 1

maximum Q = $\sqrt{1^{2} +1^{2} }$

                    = $\sqrt{2}$

Hence the maximum value of Q will be $\sqrt{2}$ .