Daily Graph 26-08-09

An easy one after a long long time?

y = sin (3x) + cos (2x)

4 Answers

24
eureka123 ·

Dom=R

Neither even nor odd

Period=2Ï€

X intercept:
sin3x=-cos2x
=> sin3x=-sin(Ï€2-2x)
=> sin3x=sin(2x-Ï€2)
=> 3x=nπ+(-1)n[2x-π2]
=> x=nπ+(-1)n[2x-π2]3

Y intercept:
sin0+cos0=y
=> y=1

f(x)=sin3x+cos2x

f'(x)=3cos3x-2sin2x
f'(x)=0 => 3cos3x=2sin2x
=> 3sin(Ï€2-3x)=2sin2x
Stuck up here....its becoming lengthy....but trying

62
Lokesh Verma ·

is the range -2 to 2??

24
eureka123 ·

ya its wrong...

btw check the rest of part....

we can get range through max/minima too

62
Lokesh Verma ·

yup...

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