Login or Sign Up

Ask a New Question

prove that sin^6a+sin^4acos ^2a-sin^ 2acos^4a=1-2cos^2a

Clearly the equation is wrong. If a = π/4, we have

sina = cosa = 1/√2 and the equation is

1/8 + 1/8 - 1/8 = 1 - 2(1/2)

which is false.

Similar Questions

Prove: sin^212+sin^221+sin^239+sin^248=1+sin^29+sin^218

Top answer: Not sure what sin^212 means. sin^2(12°)? sin(212°)? ... Read more.
Consider the function f(x)=sin(1/x)Find a sequence of x-values that approach 0 such that sin (1/x)=0 sin (1/x)=1 sin (1/x)=-1 Is

Top answer: sin (1/x) = 0 if 1/x = pi, which means x = 1/pi sin (1/x) = 1 if 1/x = pi/2, which means x = 2/pi Read more.
Write the equation for the graph of the rose curve.(1 point) Responses r = 4 sin 9θ r = 4 sin 9 θ r = 8 sin 9θ r = 8 sin 9 θ

Top answer: This question cannot be answered without a graph to match it! The bot there got so confused it gave Read more.
Use the graph to answer the question. Write the equation for the graph of the rose curve. (1 point) Responses r = 4 sin 9θ r =

Top answer: r = 4 sin 9θ Read more.
Verify this identity. How would you prove it(sin^3(x)+cos^3(x))÷(1-2cos^2(x)) = (sec(x)-sin(x))÷(tan(x)-1)

Top answer: on the LS, sin^3+cos^3 = (sin+cos)(sin^2 - sin*cos + cos^2) = (sin+cos)(1-sin*cos) 1-2cos^2 = Read more.
How would you prove this identity?(sin^3(x)+cos^3(x))÷(1-2cos^2(x)) = (sec(x)-sin(x))÷(tan(x)-1)

Top answer: on the LS, sin^3+cos^3 = (sin+cos)(sin^2 - sin*cos + cos^2) = (sin+cos)(1-sin*cos) 1-2cos^2 = Read more.
Hello,Could somebody kindly check my answer for the following question? Find the derivative of the following function:

Top answer: you can always check your answers at wolframalpha.com As you can see, you're way off. If h = 3e^u Read more.
Find the derivative off(x) = sin^2 (e^sin^2 x) I wonder if I'm right F'(x) = 2cos(e^sin^2 x) (sin^2 x e^sin^2 x -1)

Top answer: not quite if f = sin^2(u) f' = 2sin(u) cos(u) u' since u = e^v u' = e^v v' f = sin^2(e^sin^2 x) f' = Read more.
expres the following as sums and differences of sines or cosinescos8t * sin2t sin(a+b) = sin(a)cos(b) + cos(a)sin(b) replacing

Top answer: Trigonometry was not discovered by a single person. Its development spans thousands of years and Read more.
Prove the identitysin(x+y+z)+sin(x+y-z)+sin(x-y+z)+ sin(x-y-z) = 4 sin(x)cos(y)cos(z) This identity is so long and after i tried

Top answer: LS = sin((x+y)+z)+sin((x+y)-z)+sin((x-y)+z)+ sin((x-y)-z) = sin(x+y)cosz + cos(x+y)sinz + Read more.