KhloiiB778893 KhloiiB778893
  • 29-10-2022
  • Mathematics
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Trig. Use sum or difference to write the formula as a trig function

Trig Use sum or difference to write the formula as a trig function class=

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MehakY17803 MehakY17803
  • 29-10-2022

Solution:

Recall that from trigonometric identities:

[tex]\tan(A-B)=\frac{\tan A-\tan B}{1+\tan A\tan B}[/tex]

Given:

This implies that by comparison,

[tex]\begin{gathered} A=43\degree \\ B=18\degree \end{gathered}[/tex]

Thus, we have

[tex]\begin{gathered} \tan(43-18) \\ =\tan25 \end{gathered}[/tex]

Hence, as a trigonometric function of one number, we have

[tex]\tan25[/tex]

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