Question

Solve for x and y

12sinx+5cosx = 2y^2-8y+21

Answer 1

1 equation in 2 unknowns??

Answer 2

this is a really good question..tell how you approached it...

Answer 3

@deltarokker

Answer 4

i multiplied and divided the equations by \[\sqrt{ a ^{2}+b ^{2}}\]

Answer 5

i knew the simplified part will have magnitude less than 1 but i was stuck then again

Answer 6

@RaGhavv

Answer 7

a=12,b=5?

Answer 8

@RaGhavv yes

Answer 9

okay...so on left side you have an expression sumthing lyk13[sin(x+sumthng)],right..?
n what do you infer from this..?

Answer 10

Use reduction formula? then LHS becomes:
\[13\sin(x+\tan^{-1} \frac{ 5 }{ 12 })\]

Answer 11

we know that the value for the trigonometric eqn lies between,\[\left( -\sqrt{a ^{2}+b ^{2}},\sqrt{a ^{2}+b ^{2}} \right)\]

Answer 12

good...now analyse the RHS part...can you tell something about it..?
lyk you said about the left part..?