Question

value of sin 1 by 3 + s equal 2 by 5 a number 4 by 5​

Answer 1

We have

2sin  

−1

x+3sin  

−1

y=  

2

5π

​  

.............(i)

and y=kx−5............(ii)

We know sin  

−1

xϵ[−  

2

π

​  

,  

2

π

​  

] for xϵ[−1,1]

max value of sin  

−1

x is  

2

π

​  

 So let

x=1

y=1 then

2.  

2

π

​  

+  

2

3π

​  

=  

2

5π

​  

 

Duration will hold only for x=1

                                           y=1

put x=1 and y=1, we get

1=k−5⇒k=6

option (c)