Asked by Annika
Find one solution for each equation.
1. cos 4theta = sin theta
2. tan 4theta = cot (20^0 + 20)
Write the function sin (B + 35^0) in terms of its cofunction.
1. cos 4theta = sin theta
2. tan 4theta = cot (20^0 + 20)
Write the function sin (B + 35^0) in terms of its cofunction.
Answers
Answered by
Steve
cos 4x = sin x
2cos^2 2x - 1 = sin x
2(1 - 2sin^2 x)^2 - 1 = sin x
Now you have to solve a quartic in sin x.
You know from the very 1st equation that
pi/2 is a solution.
The others are not so simple.
Visit wolframalpha.com and enter
solve cos 4x = sin x
to see the graphs and the solutions.
2cos^2 2x - 1 = sin x
2(1 - 2sin^2 x)^2 - 1 = sin x
Now you have to solve a quartic in sin x.
You know from the very 1st equation that
pi/2 is a solution.
The others are not so simple.
Visit wolframalpha.com and enter
solve cos 4x = sin x
to see the graphs and the solutions.
There are no AI answers yet. The ability to request AI answers is coming soon!
Submit Your Answer
We prioritize human answers over AI answers.
If you are human, and you can answer this question, please submit your answer.