How to Evaluate the tangent of double angle using the tangent double-angle formula

The video tutorial explains the tangent of a double angle formula and demonstrates how to apply it using specific values. It covers the simplification of complex fractions by finding common denominators and offers an alternative method using reciprocal multiplication. The tutorial emphasizes understanding and practicing these concepts to handle complex fractions effectively.

What is the formula for the tangent of a double angle?

• 2 times the tangent of theta divided by 1 minus tangent squared

• Tangent of theta squared minus 1

• Sine of theta divided by cosine of theta

• Cosine of theta squared minus sine squared

When multiplying a fraction by a whole number, how can the whole number be rewritten?

• As a percentage

• As a decimal

• As a fraction with 1 as the numerator

• As a fraction with 0 as the numerator

What is the common denominator used to simplify the complex fractions in the example?

• Nine

• Five

• Three

• Sixteen

What is the result of multiplying 9 by 16 over 9 in the simplification process?

• 1

• 9

• 16

• 144

What is the alternative method mentioned for solving complex fractions?

• Adding all fractions together

• Ignoring the denominators

• Rewriting as a division of fractions and multiplying by the reciprocal

• Using a calculator