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In this lesson, we will learn how to solve trigonometric equations using the double angle identity.

Q1:

Find all the possible solutions, that is, the general solution, of the equation s i n c o s s i n π π = β 2 2 π .

Q2:

Find the general solution to the equation c o s s i n 3 π₯ = π₯ 4 .

Q3:

If 0 β€ π < 1 8 0 β β , find the solution set of β 2 π π β π = 0 s i n c o s s i n .

Q4:

If 0 β€ π < 1 8 0 β β , find the solution set of 2 π π + π = 0 s i n c o s s i n .

Q5:

Find the solution set for π₯ given c o s c o s 2 π₯ + 1 3 β 3 π₯ = β 1 9 where π₯ β ] 0 , 2 π [ .

Q6:

Find the solution set for π₯ given c o s c o s 2 π₯ + 5 β 3 π₯ = β 7 where π₯ β ] 0 , 2 π [ .

Q7:

Find π in degrees given s i n c o s π = 4 π where π is a positive acute angle.

Q8:

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

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