Find the exact value under the given conditions
1) tanx=-7/24, x lies in quadrant 2, cos(y)= 3/4, y lies in
quadrant 1
Find: sin(x+y), cos(x+y), tan(x+y)
2) cos(x)=21/29 x in quadrant 4, sin(y)=-5/12, y in quadrant
3
Find: cos(x+y)
Utilize identities to calculate the exact value of the five
remaining trigonometric functions if:
csc(α)= √3, π/2, < α < π
Calculate the equivalent algebraic expression for:
sec(arcsin(x - 1)
Use MATLAB to find the 8 point DFT of x(n) = cos(2πmn/8) (m=3)
for 0 ≤ n ≤ 7.
Plot both x(n) and its DFT and explain your results. The "dct"
and "fft" functions in MATLAB may be useful. Please post MATLAB
code.
Consider the following differential equation:
x2y"-2xy'+(x2+2)y=0
Given that y1=x cos x is a solution, find a second
linearly independent solution to the differential equation.
Write the general solution.