Cool Trigonometry Question
had to look at the solution for an approach and i-its quite elegant ye alag baat hai ki wo bhi poora samajh nahi aaya
31 Replies
@Apu
Note for OP
+solved @user1 @user2... to close the thread when your doubt is solved. Mention the users who helped you solve the doubt. This will be added to their stats.1 to ho gaya
beautiful frr
2 and 3 again no idea looked at solutions but got no idea either
What should be my approach for questions of Ranges of Trigonometry
ive gotten stuck on 3-4 of these
2 ke liye derivative se approach hai toh but doesn't seem right
Same goes for 3
I got option 2 for the second one but I'm not sure if my condition is sufficient
single correct hai
bro this is Trig Functions
pehla wala part
Haan, i mean, inequality hai toh there can be some other condition which gives better result
ohh ok
ohh and the answer is one
So I got it right
yus
But nvm, I made a mistake. I would've gotten 2 otherwise
heh
tukke se 1 aaya?
Differentiation se bhi
So it's right
send solution once
Phir se likhna hai
Just differentiate twice man. Set first derivative equal to zero. Second derivative less than zero for maximum, greater than zero for minimum
wait wat what
how do i
diffrentiate
this?
chain rule. First differentiate the ^n, then the trigonometric function
lemme try that one sec
wait
kaise karte they dffrentiate 💀
@Opt bhaiya iska bhi bhejna please
Yeah, I don't think it's the intended soln.
arey you send na
tommorow
i have math ka class
i can ask sir
for proper solution
and confirm
if your solution is valid
if it is
then balle balle
if it isnt
ill ask why
and tell you as well
why it wasnt valid
Ah I feel so stupid for the second part.
The QR explains it well
cos^1000=cos^2*cos^998 which is less than equal to cos^2 and similarly sin^1000 is less than equal to sin^2. So their sum is less than or equal to cos^2+sin^2 which is 1.
Actually wait a minute this doesn't set the bounds well. So do verify the equality portion once. (Which is the trivial case when cos or sin = 1)
Third part bhi ig aise hi hoga but sin^2>=sin^n so yk... The maximum is also 1.
i didnt check the QR why am i so brain dead
excuse me why would cos^2*cos^998 less than equal to cos^2 ???
Because cos^998 is less than equal to one
huh why? how?
Because cos lies between -1 and 1.
oh
right
again me being brain dead
ok
got it
thanks
np 🫡
+solved @SirLancelotDuLac @Opt
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