In general, tan (α + β) is not equal to

Ayaana Buck

Ayaana Buck

Answered question

2021-08-12

In general, tan (α + β) is not equal to tan α + tan β. However, there are some values of α and β for which they are equal. Find such α and β, and do the same for tan (α - β).

Answer & Explanation

Dora

Dora

Skilled2021-08-13Added 98 answers

Let β=0° so that:
tan(α+0°)=tanα+tan0°

tanα=tanα

Hence, tan(α+β)=tanα+tanβ for any value of αα given that β=0°. A possible answer is when:

α=30° and β=0°

Do the same for tan(αβ).Let β=0° so that:

tan(α0°)=tanαtan0°

tanα=tanα

Hence, tan(αβ)=tanαtanβ for any value of αα given that β=0°. A possible answer is when:

α=45° and β=0°

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