Solving \(\displaystyle{2}{\sin{{\left(\theta+{17}\right)}}}={\frac{{{\cos{{\left(\theta+{8}\right)}}}}}{{{\cos{{\left(\theta+{17}\right)}}}}}}\)

Petrolovujhm

Petrolovujhm

Answered question

2022-04-03

Solving 2sin(θ+17)=cos(θ+8)cos(θ+17)

Answer & Explanation

Malia Booth

Malia Booth

Beginner2022-04-04Added 16 answers

It is true that sin(2θ+34)=sin(82θ) if 2θ+34=82θ+360n
It is not true that sin(2θ+34)=sin(82θ) only if 2θ+34=82θ+360n
Remember that sin(180α)=sinα. Thus if sin(2θ+34)=sin(82θ+n360) then
sin(2θ+34)=sin(180(82θ+n360))
and you'll get additional solutions.

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