Question

if 4sin A=3cos A, then find the value of 5sin A+ 5cos A

plz answer. i need it by step by step.​

Answer 1

Answer:

Step-by-step explanation:

Hi ,

Here I'm using A instead of theta

CotA= 4/3-----( 1 )

Now ,

(5sinA + 3cosA )/(5sinA - 3cosA )

Divide numerator and denominator with sinA , we get

= ( 5 + 3cosA/sinA)/(5 - 3cosA/sinA)

= ( 5 + 3cotA) / ( 5 - 3cotA )

= ( 5 + 3 ×4/3 )/ [ 5 - 3× ( 4/3 ) ]

= ( 5 + 4 ) / ( 5 - 4 )

= 9/1

= 9

I hope this helps you.

:)