Question

find the maximum and minimum value of 12sinx - 5cosx​

Answer 1

Answer:

y = 5.sinx +12.cosx

dy/dx = 5.cosx – 12 sinx = 0 for a turning point, giving tanx= 5/12 and therefore

x = 22.62˚ ± n.360˚ for maxima and

x= 202.62˚ ± n.360˚ for minima

Amplitude = √(12²+5²) = 13 so

Max value =13 and min. value =-13

Answer 2

Answer:

Step-by-step explanation:

5sinx+12cosx=13

differentiate with respect to x

5(cosx)+12(-sinx)=0

5cosx-12sinx=0