Question

α is an acute angle. (sin α + cos α) is
(a) greater than 1
(b) less than 1
(c) equal to 1
(d) We cannot say any of these as it depends on the value of α

Answer 1

Answer:

(a) greater than 1

Step-by-step explanation:

Hence,proved

Answer 2

When α is an acute angle then (sin α + cos α) is (a) greater than 1

Given:

α is an acute angle.

To find:

The value of (sin α + cos α)  

Solution:

From the data, α is an acute angle

Hence, α < 90°  

Let's assume that α = 45°    

Now find (sin α + cos α)      

=> (sin 45° + cos 45° )      

=  ( 1/√2 + 1/√2)

=  2 (1/√2)

=  √2  

=  1.414

Here  1.414 > 1

Therefore,

When α is an acute angle then (sin α + cos α) is (a) greater than 1

 

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