Question

If sinA- cosA = 7/ 13 .then let us determine the value of sinA + cos A

Answer 1

Answer:

(sinx - cosx)² = sin²x + cos²x - 2sinxcosx = 49/169

=> 1 - 2sinxcosx = 49/169 => 2sinxcosx = 120/169

Now,(sinx + cosx)² = 1 + 2sinxcosx = 289/169

sinx + cosx = √(289/169) = ±17/13

Step-by-step explanation:

hope this helps