Lesson: Integration Using Trigonometric Identities

In this lesson, we will learn how to integrate complex trigonometric expressions through applying trigonometric identities.

Worksheet: Integration Using Trigonometric Identities • 25 Questions

Q1:

Determine 8 𝑥 𝑥 c o s d 2 .

Q2:

Determine 8 𝑥 2 5 𝑥 s i n d 2 .

Q3:

Determine 8 𝑥 + 1 1 𝑥 t a n d 2 .

Q4:

Determine ( 3 𝑥 3 𝑥 ) 𝑥 c o s s e c d 2 .

Q5:

Determine 4 4 𝑥 5 9 𝑥 𝑥 s i n t a n d 2 2 .

Q6:

Determine 3 9 𝑥 𝑥 t a n d 2 .

Q7:

Determine 2 7 𝑥 7 𝑥 𝑥 s i n c o s d 2 2 2 .

Q8:

Determine 6 1 8 𝑥 5 9 𝑥 5 9 𝑥 𝑥 c o s s i n c o s d .

Q9:

Determine ( 2 𝑥 𝑥 ) 𝑥 s i n c o s d .

Q10:

Determine 𝑥 3 2 𝑥 𝑥 s i n s i n d .

Q11:

Determine ( 5 6 𝑥 + 5 6 𝑥 ) 2 6 𝑥 + 6 𝑥 𝑥 s i n c o s t a n s e c d 2 2 .

Q12:

Determine 6 𝑥 1 1 𝑥 1 1 𝑥 c o s c o s d 2 .

Q13:

Determine 7 𝑥 4 7 𝑥 c o s d 2 .

Q14:

Determine ( 5 5 𝑥 1 ) 𝑥 c o s d 2 .

Q15:

Determine 2 3 𝑥 7 9 3 𝑥 9 𝑥 c o s s i n d 2 2 .

Q16:

Determine 3 𝑥 3 9 𝑥 𝑥 c o s c o s d 2 .

Q17:

Determine 7 ( 4 𝑥 3 ) 4 ( 4 𝑥 3 ) + 4 𝑥 s i n c o s d 2 .

Q18:

Determine 8 5 9 𝑥 5 𝑥 t a n d 2 .

Q19:

Determine 5 9 𝑥 2 5 9 𝑥 2 𝑥 s i n c o s d 2 .

Q20:

Determine 5 𝑥 5 5 𝑥 + 5 𝑥 c o s s i n d 2 .

Q21:

Determine 7 7 𝑥 + 7 7 𝑥 2 7 𝑥 + 2 7 𝑥 𝑥 s i n c o s s i n c o s d 3 3 .

Q22:

Determine 8 4 𝑥 𝜋 4 8 4 𝑥 𝜋 4 𝑥 c o s c o s s i n s i n d .

Q23:

Determine 4 6 𝑥 6 𝑥 𝑥 s e c c s c d 2 2 .

Q24:

Determine 9 𝜋 4 + 2 4 6 𝑥 3 1 2 𝑥 𝑥 s e c s i n c o t d 2 2 .

Q25:

Determine 8 2 𝑥 + 8 2 𝑥 𝑥 t a n c o s d 2 2 .

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