Write the Expression as the Sine, Cosine, or Tangent of an Angle

question 58

Multiple Choice

Write the expression as the sine, cosine, or tangent of an angle.
- $\frac { \tan ( \pi / 5 ) + \tan ( \pi / 3 ) } { 1 - \tan ( \pi / 5 ) \tan ( \pi / 3 ) }$

• A) \(\tan \left( \frac { 2 \pi } { 15 } \right)\)
• B) \(\tan \left( \frac { \pi } { 15 } \right)\)
• C) \(\tan \left( \frac { \pi } { 8 } \right)\)
• D) \(\tan \left( \frac { 8 \pi } { 15 } \right)\)

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Definitions:

Alpha

In statistics, alpha represents the significance level, the probability of rejecting the null hypothesis when it is actually true, often set at 0.05.

Alternative Hypothesis

The hypothesis that is tested against the null hypothesis in statistical hypothesis testing, representing a statement that indicates some effect or difference.

Critical Value

A threshold value in hypothesis testing that defines the boundary for rejecting the null hypothesis; it is determined by the chosen significance level.

Null Hypothesis

In statistics, it posits that there is no effect or difference among the groups being studied or variables being compared.