Question

tanA=8/15 find sinA+cosA​

Answer 1

Answer:

23/17

Step-by-step explanation:

 Given, tanA = 8/15

As we know, tanA = height/base.   Let the height be '8' and base be '15'.

  Using Pythagoras theorem,

   ⇒ hypotenuse² = 8² + 15²

   ⇒ hypotenuse² = 289

   ⇒ hypotenuse = 17

Hence,

    sinA = height/hypo. = 8/17

    cosA = base/hypo.  = 15/17

∴ sinA + cosA = 8/17 + 15/17

  sinA + cosA = 23/17

Answer 2

Step-by-step explanation:

sinA/cosA= 8/15

sin A= 8

cos A= 15

sinA+cosA= 23

Hope it helps