Explain why sin2(theta) + cos2(theta) = 1.

Step-by-step explanation:

We need to explain why sin²θ + cos²θ = 1

Consider a right angled triangle, we have base, perpendicular and hypotenuse.

Refer the figure

Taking  sin²θ + cos²θ  

We know Pythagoras theorem

               perpendicular² + base² =  hypotenuse²    

 Hence sin²θ + cos²θ = 1  

the correct answer is 5

the simplified form is

step-by-step explanation:

we want to simplify the expression,

let us change the middle bar to a normal division sign to obtain,

we multiply the first fraction by the reciprocal of the second fraction to obtain,

we factor to obtain,

we cancel the common factors to get,

we simplify to get,

the correct answer is b