Question

$7sin \alpha +24 cos \alpha = 25$
find
$sin \alpha + cos \alpha =$




​

Answer 1

Answer:

31/25

Step-by-step explanation:

7 sin alpha + 24 cos alpha = 25

Dividing throughout by 25,

7/25 sin alpha + 24/25 cos alpha = 1

We know that sin²alpha+cos ² alpha =1

, so we can write

7/25 sin alpha + 24/25 cos alpha = sin²alpha+cos²alpha

Cancelling in lhs, rhs,

7/25+24/25 = sin alpha+cos alpha

31/25 = sin alpha + cos alpha