Another way

Express tan(x) in terms of cos(x)

68.

62.

Use

Cancel

Sum of two cubes

Use

Expand in the numerator and use in the denominator

Expand the numerator as difference of two squares and expand in the denominator

Group in the numerator, and expand the denominator as difference of two squares

Group

80.

==>

==>

Cancel with the condition that

Difference of two squares

15. Verify the identity

Therefore, ==> The equation is not an identity.

We can show that it is not an identity by choosing x = p

==>

This is not a identity since we know that

4. Decide if the equation is an identity or not. If not, give a value of x where the left side is not equal to the right side.

A. Farhat

Homework Solution 6.1

Math 002-041

59.

55.

37.

Expanding

Common denominator

28.