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In this lesson, we will learn how to use the cofunction identities to find the angle ΞΈ.

Q1:

Simplify s i n ( π β 2 7 0 ) β .

Q2:

Simplify s e c t a n t a n π π ( 2 7 0 + π ) β .

Q3:

Which of the following is the general solution of the equation c s c s e c 6 π = 3 π ?

Q4:

π΄ π΅ πΆ π· is a trapezium where π β π΄ = π β π· = 9 0 β , πΆ π· = 2 1 c m , π΄ π· = 1 2 c m , and π΄ π΅ = 3 0 c m . Find s i n π .

Q5:

π΄ π΅ πΆ π· is a square where 9 π· πΉ = 1 0 πΉ πΆ . Find the exact value of c o s π .

Q6:

Simplify s i n ( 2 7 0 β π ) β .

Q7:

Find the value of s e c c s c 1 0 5 1 5 β β .

Q8:

Find the value of π₯ given t a n c o t 7 8 = π₯ β .

Q9:

Find the value of π₯ given c s c s e c 2 7 = π₯ β .

Q10:

Find the value of π₯ given c s c s e c 8 0 = π₯ β .

Q11:

Simplify s i n ( 9 0 + π ) β .

Q12:

Simplify c o t ( 9 0 β π ) β .

Q13:

Find π in degrees given c o s s i n 1 5 3 1 5 β² = β π β where π is an acute angle.

Q14:

Find π in degrees given s e c c s c 1 6 4 = β π β where π is an acute angle.

Q15:

Find π in degrees given s i n c o s 1 4 2 = π β where π is an acute angle.

Q16:

Simplify c o t ( 2 7 0 β π ) β .

Q17:

Find π in degrees given c s c c s c 3 2 7 4 5 β² = β π β where π is an acute angle.

Q18:

Simplify s e c ( 2 7 0 β π ) β .

Q19:

Simplify c s c ( 9 0 β π ) β .

Q20:

Simplify s e c ( 9 0 β π ) β .

Q21:

Simplify c o t ( 2 7 0 + π ) β .

Q22:

Simplify s i n ( 2 7 0 + π ) β .

Q23:

Simplify c o t ( 9 0 + π ) β .

Q24:

Simplify s e c ( 2 7 0 + π ) β .

Q25:

Which of the following is equivalent to s i n ( 9 0 β π ) β ?

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