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In this lesson, we will learn how to solve a trigonometric equation using quadratic methods.

Q1:

Find all the possible general solutions of 2 π β β 2 π = 0 c o s c o s 2 .

Q2:

Find all the possible general solutions of 2 π β β 3 π = 0 c o s c o s 2 .

Q3:

Find the set of values satisfying 1 3 π β 7 6 π = 0 t a n t a n 2 where 0 β€ π < 3 6 0 β β . Give the answers to the nearest second.

Q4:

Find the set of values satisfying 7 1 π + 8 0 π = 0 t a n t a n 2 where 0 β€ π < 3 6 0 β β . Give the answers to the nearest second.

Q5:

Find the set of values satisfying 7 8 π + 4 9 π = 0 t a n t a n 2 where 0 β€ π < 3 6 0 β β . Give the answers to the nearest second.

Q6:

Find the set of values satisfying 2 π β β 2 π β 2 = 0 s i n s i n 2 given 1 8 0 β€ π < 3 6 0 β β .

Q7:

Find the set of values satisfying 2 β 2 π + 2 π = 0 c o s c o s 2 given 0 < π β€ 3 6 0 β β .

Q8:

Find the set of values satisfying 6 π β 7 π β 5 = 0 c o s c o s 2 where 0 β€ π < 3 6 0 β β . Give the answers to the nearest minute.

Q9:

Find the set of values satisfying 6 π β π β 1 = 0 c o s c o s 2 where 0 β€ π < 3 6 0 β β . Give the answers to the nearest minute.

Q10:

Find the set of possible solutions of s i n c o s 2 2 π β π = 0 given π β [ 0 , 3 6 0 [ β β .

Q11:

Find the set of values satisfying 5 π = 4 c o s 2 where 0 β€ π < 3 6 0 β β . Give the answer to the nearest minute.

Q12:

Find the set of values satisfying t a n t a n 2 π + π = 0 where 0 β€ π < 1 8 0 β β .

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