Question

If sin (x+y) = cos(x-y) find the value of x

Answer 1

Answer:

Step-by-step explanation:

                                expand the formula

                              sinxcosy +cosxsiny =cosxcosy +sinxsiny

                    grouping the x terms to a side u get

                   ( cosx-sinx) (siny -cosy)=0

                                   cosx=sinx   tanx = 1

                                     i.e , x =$\pi/4$

Answer 2

Answer:

45

Step-by-step explanation:
sin(x+y)=cos(x-y)
The value of sin 45 and cos 45 are the same. So,
x+y=45                         --------(i)
x-y=45                          --------(ii)
Adding equations (i) and (ii),
x+y+(x-y)=45+45
x+y+x-y=90
2x=90
x=45











Note:
You can also take other similar values of sin theta and cos theta like
(i)sin30=cos60
(ii)sin60=cos30
(iii)sin90=cos0
(iv)sin0=cos90
The values of all the cases given above are the same. If you take these values also, then also your answer will come as 45.


















Hope it helps!!!!!!!!!!!














I will be pleased if you understand it.

Answer 3

Answer:

45

Step-by-step explanation:
sin(x+y)=cos(x-y)
The value of sin 45 and cos 45 are the same. So,
x+y=45                         --------(i)
x-y=45                          --------(ii)
Adding equations (i) and (ii),
x+y+(x-y)=45+45
x+y+x-y=90
2x=90
x=45











Note:
You can also take other similar values of sin theta and cos theta like
(i)sin30=cos60
(ii)sin60=cos30
(iii)sin90=cos0
(iv)sin0=cos90
The values of all the cases given above are the same. If you take these values also, then also your answer will come as 45.


















Hope it helps!!!!!!!!!!!














I will be pleased if you understand it.