Use the Half-angle Formulas to find the exat value of each expression.

aflacatn

aflacatn

Answered question

2021-08-22

Use the Half-angle Formulas to find the exat value of each expression.
tan22.5

Answer & Explanation

Margot Mill

Margot Mill

Skilled2021-08-23Added 106 answers

Trigonometry:
tan(22.5)=tant
tan2t=tan45=1
Use trig identify:
tan(2t)=2tant1tan2t
2tant1tan2t=1
tan2t+2tant1=0
tant=2±4+42
=2±222
=1±2
Since tan22.5 is positive, then take the positive answer:
tan(22.5)=1+2
Jeffrey Jordon

Jeffrey Jordon

Expert2021-12-10Added 2605 answers

Answer is given below (on video)

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