Question

please answer the question full solution ​

Answer 1

Step-by-step explanation:

-3/8+1/7=1/7+(-3/8)

LCM of 7,8

-21+8/56=8+(-21)/56

-13\56=8-21/56

-13/56=-13/56

thus, LHS=RHS

Answer 2

Step-by-step explanation:

The given equation can be written as

2sin(x/2)(cos2x−sin2x)=cos2x−sin2x

⇒(2sin(x/2)−1)cos2x=0

Hence cos2x=0 or sin(x/2)=1/2

i.e. 2x=nπ+π/2 or

x/2=kπ+(−1)k(π/6)(n,kεI). 

In other words,

x=nπ/2+π/4 or x=2kπ+(−1)kπ/3

If x=nπ/2+π/4, then sin2x=±1, 

and if  x=2kπ+(−1)kπ/3,cosx

=cos(π/3)=1/2 

and cos2x=cos(2π/3)=−1/2.

$\huge\mathtt\red {BY YOUR DIDI }$