Q. 355.0( 2 Votes )

If find the value of x sin θ + y cos θ.

Answer :

We know that,



Side opposite to angle θ =AB = x

Side adjacent to angle θ =BC = y

where, k is any positive integer

Firstly we have to find the value of AC.

So, we can find the value of AC with the help of Pythagoras theorem

(AB)2 + (BC)2 = (AC)2

(x)2 + (y)2 = (AC)2

(AC)2 = x2+y2

AC =( x2+y2)

Now, we will find the sin θ and cos θ

We know that

Side adjacent to angle θ = BC = y

and Hypotenuse = AC = √( x2+y2)



Side adjacent to angle θ =AB = x

And Hypotenuse =AC = √( x2+y2)


Now, x sin θ +y cos θ

= √( x2+y2)

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