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In this lesson, we will learn how to find the trigonometric function values for 30-, 45-, and 60-degree angles.

Q1:

Find the value of s i n c o s π₯ + π¦ given π₯ and π¦ are complementary angles in the ratio 2 1 : . Give the answer to four decimal places.

Q2:

Find the value of π given 9 π = 6 0 6 0 3 0 c o s t a n t a n 2 β 2 β 2 β .

Q3:

Find π β π΄ given c o s π΄ = β 3 2 and β π΄ is an acute angle.

Q4:

Find the value of s i n t a n c o s οΌ 2 π 3 ο οΌ 4 π 3 ο + οΌ 2 π 3 ο without using a calculator, given t a n π = 1 where π is an acute angle.

Q5:

Find the value of c o s 2 π without using a calculator, given π where t a n π = 1 is an acute angle.

Q6:

Find the value of without using a calculator, given where is an acute angle.

Q7:

Find the value of 1 + 6 0 3 0 3 0 t a n t a n c o s β β 2 β .

Q8:

Find the value of π in degrees given c o s ( π + 1 9 ) = 1 β 2 where π + 1 9 is an acute angle.

Q9:

Find the value of c o s t a n s i n 2 β 2 β 2 β 6 0 β 2 4 5 β 6 3 0 .

Q10:

Find the value of c o t 1 5 7 3 0 β² β given c s c c o t c o t 2 π + 2 π = π .

Q11:

Find the value of t a n s i n c o s 2 β 2 β 2 β 3 0 + 4 0 + 7 1 3 5 .

Q12:

Find the value of 2 4 5 3 0 c o s s i n β β .

Q13:

Find the value of c o s s i n s i n t a n t a n 6 0 3 0 β 6 0 6 0 + 3 0 β β β β 2 β without using a calculator.

Q14:

Find the value of π in degrees given c o s π = 1 2 where π is an acute angle.

Q15:

Find the value of t a n t a n s i n c o s 6 0 οΉ 1 β 4 5 ο 3 0 6 0 β 2 β β β without using a calculator.

Q16:

Find π given s i n π = 1 2 and t a n π > 0 .

Q17:

Find the value of 3 3 0 6 0 β 0 6 0 + 2 7 0 4 5 s i n s i n c o s s e c s i n c o s β β β β β 2 β .

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