Question

y=3sintheta + 4costheta find the maximum value of y​.

Answer 1

Answer:

Letuscalculatethevalueof3sinθ+4cosθforstandardangles.

θ3sinθ+4cosθ

=0  

∘

→3×0+4×1=4

=30  

∘

→3×  

2

1

​  

+4×  

2

3

​  

 

​  

=4.964=5

=45  

∘

→3×  

2

​  

 

1

​  

+4×  

2

​  

 

1

​  

=4.95=5

=60  

∘

→3×  

2

3

​  

 

​  

+4×  

2

1

​  

=4.6

=90  

∘

→3×1+4×0=3

Sothemaximumvalueof3sinθ+4cosθis5

Step-by-step explanation: