Solve the equation:

a) 2 cos (x) = square root 2 for x [0,2]

• Leave answer as the exact value

b) tan (x) = - 4 for x [0,2]

• Round answer 4 decimal places

c) csc^2 x + 6 csc x - 7 = 0 for x [0,2]

• Write answers as exact (, /3, 5/6, etc...) whenever possible.
• Only round when it isn't possible to provide an exact value, in which case, round to 4 decimal places

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3. Let f(x) = sin (x) and g(x) = cos (2x)

• Determine the point(s) of intersection of f(x) and g(x) on the interval x [0,2]
• State the point(s) of intersection on the interval x [2,4]