Simplify: (sin θ − cos θ)^2 + (sin θ + cos θ)^2

 The required simplified value of the given expression is 2.

Step-by-step explanation:  We are given to simplify the following trigonometric expression :

We will be using the following formulas :

From (i), we have

Thus, the required simplified value of the given expression is 2.

options a,b,c are the right answer.

step-by-step explanation:

a linear parent function is always represented as y = x

if we write this function in the form of y=mx+c

⇒

or  

now if we plot a graph we will find these characteristics:

1) y intercept of the graph is zero so its a straight line passing through origin.

2) as we can see in both the forms of function written, values of x and y may be either positive or negative for the positive slope means points on the graph are either in first quadrant or in third one.

3) it's slope is one.