Question

prove that sin x+5 = cos y+6​

Answer 1

ANSWER

As for real values of x,y,z,sin or cos value lies only in [−1,1],

the given equation is possible if and only if each of sin(x),cos(y),sin(z)=1

⇒2+5+7=14

So x=

2

π

;sin

2

π

=1

y=0;cos(0)=1

z=

2

π

;sin

2

π

=1

ii) Thus tan

2

π

=tan

4

π

=1

cos(z)=cos

2

π

=0

Hence 7tan

2

x

+4cos(y)−6cos(z)=7+4−0=11

I hope you are understand my solution