Sign In
Ask Question
Mathematics
Collin Hampton
16 December, 15:17
Solve sin4x cosx-sinx cos4x = sqrt (2) / 2 for [0, 2pi)
+4
Answers (
1
)
Hayden Stephens
16 December, 18:41
0
x = π/12, π/4, 3π/4, 11π/12, 17π/12, 19π/12
Step-by-step explanation:
sin (4x) cos x - sin x cos (4x) = √2 / 2
Use angle difference formula.
sin (4x - x) = √2 / 2
sin (3x) = √2 / 2
3x = π/4 + 2kπ, 3π/4 + 2kπ
x = π/12 + 2kπ/3, π/4 + 2kπ/3
x = π/12, π/4, 3π/4, 11π/12, 17π/12, 19π/12
Comment
Complaint
Link
Know the Answer?
Answer
Not Sure About the Answer?
Get an answer to your question ✅
“Solve sin4x cosx-sinx cos4x = sqrt (2) / 2 for [0, 2pi) ...”
in 📙 Mathematics if there is no answer or all answers are wrong, use a search bar and try to find the answer among similar questions.
Search for Other Answers
You Might be Interested in
Give the values of a, b, and c from the general form of the equation (2x + 1) (x - 2) = 0. a = 2, b = - 3, c = - 2 a = 2, b = 5, c = - 2 a = 3, b = 1, c = - 1
Answers (1)
How many combinations of nickels, pennies, dimes, and quarter are there in 30 cents
Answers (1)
In which quadrant does the terminal side of the angle - 230° lie
Answers (1)
Solve the inequality |5x+5|<25
Answers (1)
What is five-sixths plus nine
Answers (1)
New Questions in Mathematics
What is a number greater than 0.1 but less than 0.2
Answers (1)
What information do you need to solve the problem?
Answers (1)
Which expression is equivalent to the expression - 3 (4x - 2) - 2x? - 8x - 16x - 14x - 2 - 14x + 6
Answers (1)
Oceanside bike rental shop charges 16 dollar fixed fee plus 9 dollars an hour for renting a bike. jessica paid 61 dollars to rent a bick. how many hours did she pay to have the bick checked out?
Answers (1)
Solve: 2x + 8x - 1 = 19
Answers (1)
Home
»
Mathematics
» Solve sin4x cosx-sinx cos4x = sqrt (2) / 2 for [0, 2pi)
Sign In
Sign Up
Forgot Password?