Question

Which expression is equivalent to cosβtanβsecβ for all values of β for which cosβtanβsecβ is defined?

Answer 1

The expression equivalent to cosβtanβsecβ for all values of β for which cosβtanβsecβ is defined is sinβ. To show this, we can simplify the expression using trigonometric identities.

Step-by-step explanation:

The expression equivalent to cosβtanβsecβ for all values of β for which cosβtanβsecβ is defined is sinβ. To show this, we can simplify the expression using trigonometric identities:

1. Start with cosβtanβsecβ
2. Rewrite tanβ as sinβ/cosβ
3. Rewrite secβ as 1/cosβ
4. Combine the terms by multiplying
5. Cancel out the common factor of cosβ
6. The expression simplifies to sinβ

Therefore, the equivalent expression is sinβ.