nd all solutions of the equation: 5sin(t) + 8 = 14 cos2(t)   There will be four solutions.  Two solutions will be EXACT and two will be APPROXIMATES. The exact solutions will have the format: t = A + Bπk and t = C + Dπk where k is any integer, 0 < A < C < 2π Report the approximate solutions to three decimal places:  t = E + Fπk and t = G + Hπk where k is any integer, 0 < E < G < 2π Show all your work for these solutions.

Question

Find all solutions of the equation:

5sin(t) + 8 = 14 cos2(t)

 

There will be four solutions. 

Two solutions will be EXACT and two will be APPROXIMATES.

The exact solutions will have the format:

t = A + Bπk

and

t = C + Dπk

where k is any integer, 0 < A < C < 2π

Report the approximate solutions to three decimal places: 

t = E + Fπk

and

t = G + Hπk

where k is any integer, 0 < E < G < 2π

Show all your work for these solutions.

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