C3 and C4 DOUBTS HERE!!!

[Arthur Bon Zavi]

Oops sorry, Its not squared just 2 theta  

You are having trouble in sketching the graph then ?

[Malak]

You are having trouble in sketching the graph then ?

No, the second part i.e. finding the points

[Arthur Bon Zavi]

No, the second part i.e. finding the points

Intersection method :

[Malak]

Intersection method :

Lol, I know that but I need a full solution cause I got stuck in between O_O
Thanks

[astarmathsandphysics]

theta =21.47 or 158.53
see attachment. Only sin theta =(-1+sqrt(3))/2 works cos(-1-sqrt(3))/2 is less than -1

[Malak]

theta =21.47 or 158.53
see attachment. Only sin theta =(-1+sqrt(3))/2 works cos(-1-sqrt(3))/2 is less than -1

Oh god, I just missed one bit O_O

Thankyou

[Malak]

Another one:

Cotx = -1.5, find the value of cosecx

[Arthur Bon Zavi]

Another one:

Cotx = -1.5, find the value of cosecx

Sorry. I was late for that.

1 + cot²x = cosec²x
1 + (-1.5)² = cosec²x
cosec x = 1.802775638 = 1.80

[astarmathsandphysics]

I forgot theta=0

[Malak]

For some reason, i cant work this out or more like simplify it O_O

Differentiate (product rule): x(1 + 3x^5)

[Arthur Bon Zavi]

For some reason, i cant work this out or more like simplify it O_O

Differentiate (product rule): x(1 + 3x^5)

15x⁵ + 3x⁵
=> 18x⁵

[Alpha]

Angel, you must take care to differentiate what is in the bracket.

(1 + 3x^5)

Diff. but keep it in the bracket itself. Then, expand. It'll make your work easier.

[Malak]

15x⁵ + 3x⁵
=> 18x⁵

Lol, I said product rule

The answer is --> (1 + 3x)^4 (1 + 18x)

@Alpha: Yeah but I cant seem to understand how do we end up with (1 + 18x) 

[Alpha]

Lol, I said product rule

The answer is --> (1 + 3x)^4 (1 + 18x)

@Alpha: Yeah but I cant seem to understand how do we end up with (1 + 18x) 

x(1 + 3x^5)

x(15x^4) + ((1 + 3x^5)(1) = 18x^5 + 1.

Did you copy the question correctly? 

[Malak]

^ Yeah, the question is correct.

I got the answer now 

Thanks for the help anyway