f(x) ≡ a + b sin x° + c cos x°, x ∈ , 0 ≤ x ≤ 360,
The curve has turning points with coordinates (60, 5) and (240, 1) as shown.
a) State, with a reason, the value of the constant a.
b) Find the values of k and α, where k > 0 and 0 < α < 90, such that
f(x) = a + k sin (x + α)°.
c) Hence, or otherwise, find the exact values of the constants b and c.
I am clueless on all of them.
a) First i assumed the that a =4 because of translation up by 4. usually sin/cos curves have a max of 1.
b) i used the minimum points and maximum points to construct two simultaneous equations:
and minused leaving me with:
c) can't do this if i can't do a) or b).
Step 2: Register
Thanks for posting! You just need to create an account in order to submit the post
Already a member?
Oops, something wasn't right
please check the following:
Step 2: Sign in
Not got an account?
Sign up now
You get these gems as you gain rep from other members for making good contributions and giving helpful advice.