How to factor a trinomial trig identity

What is the primary purpose of using substitution in algebraic problems?

• To simplify the problem by replacing variables

• To change the problem into a different subject

• To make the problem more complex

• To avoid solving the problem

When factoring X^2 + 2X + 1, what is the resulting expression?

• (X + 1)(X + 1)

• (X - 1)(X - 1)

• (X + 2)(X + 1)

• (X + 1)(X - 1)

How can X^4 + 2X^2 + 1 be factored using substitution?

• (X^2 + 1)(X^2 - 1)

• (X^2 + 2)(X^2 + 1)

• (X^2 + 1)(X^2 + 1)

• (X^2 - 1)(X^2 - 1)

What substitution is used to simplify tangent expressions in the problem?

• Tangent^2 = X^2 and Tangent^4 = X

• Tangent^4 = X^2 and Tangent^2 = X

• Tangent^4 = X and Tangent^2 = X^2

• Tangent^2 = X^2 and Tangent = X

What is the result of factoring tangent squared expressions in the problem?

• Tangent squared times one equals secant squared

• Tangent squared equals secant squared

• Tangent squared minus one equals secant squared

• Tangent squared plus one equals secant squared

What identity is used to rewrite tangent squared in the final steps?

• Tangent squared equals cotangent squared

• Tangent squared plus one equals secant squared

• Tangent squared equals cosine squared

• Tangent squared minus one equals sine squared

What is the final expression obtained after applying substitution and factoring?

• Cosine to the fourth power

• Tangent to the fourth power

• Secant to the fourth power

• Sine to the fourth power