Question

 Write True' or False' and justify your answer  the following : 

The value of sin θ+cos θ is always greater than 1 .

Answer 1

Consider the table.

θ	0°	30°	45°	60°	90°
`sin θ`	`0`	`1/2`	`1/sqrt2`	`sqrt3/2`	`1`
`cosθ`	`1`	`sqrt3/2`	`1/sqrt2`	`1/2`	`0`

Here, 

`sin 90°+cos 90°=1+0=1`  Which is not greater than 1 Therefore, the given statement is false,