IIT JEE Past Question Trigonometry 4

sinA sinB sin C + cos A cos B=1

then the value of sin C=?

15 Answers

11
virang1 Jhaveri ·

Sir
Is ABC a Triangle

39
Dr.House ·

obviously yes virang

21
tapanmast Vora ·

1?

1
Kalyan Pilla ·

How is that Tapan??

21
tapanmast Vora ·

sAsBsC + cAcB ≤ sAsB + cAcB

==> 1 ≤ cos(A-B)

then it gets easy!!

21
tapanmast Vora ·

this inequality TECHnique I lurnt FRMO TARGETTIIT

21
tapanmast Vora ·

in the form of solutions in various eg. by PROPHET SIR, KAYAMNT SIR n NISHANT SIR!!!!!

1
Kalyan Pilla ·

But if sinC is 1 =>C=900

Then sinAsinB+cosAcosB =1
=>cos(A-B)= 1

As A+B=900

A=B=450

Does that mean the eq is true only for a right isosceles triangle[7][7][7]

21
tapanmast Vora ·

yes!

21
tapanmast Vora ·

Let Sir Confioirm though, but by the equation definitely yes!

62
Lokesh Verma ·

good work guys.. awesome :)

good that you learned something here :)

This was a past JEE question :)

62
Lokesh Verma ·

but i dont think it needs to be a triangle..

you guys must have realized it now :)

62
Lokesh Verma ·

there can be 2 answers then

1 and -1

isnt it?

21
tapanmast Vora ·

SUMHTING [11] [5]

IT IS SOOOOOOOOOOOOOOOOOOOOO MANY THINGS!!!!!!!!!!!!

1
Kalyan Pilla ·

Yeah we learned a lot
A good question
Explored a lot[1][3][5][57]

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