Worksheet: Inverse of Sine and Cosine

Q1:

The given tables show some values of , , and . Which function corresponds to the function ?

 π₯ π ( π₯ ) β β 3 2 β 1 2 0 1 2 β 2 2 β π 3 β π 6 0 π 4 π 3
 π₯ π ( π₯ ) β β 3 2 β β 2 2 0 β 3 2 1 β π 6 β π 4 0 π 6 π 2
 π₯ β ( π₯ ) β 1 β 1 2 0 β 2 2 β 3 2 β π 2 β π 6 0 π 4 π 3
• A
• B
• C

Q2:

The given tables show some values of , , and . Which function corresponds to the function ?

 π₯ π ( π₯ ) β 1 β 1 2 0 1 2 β 2 2 π π 4 π 2 π 3 β π 4
 π₯ π ( π₯ ) β β 3 2 β β 2 2 0 β 3 2 1 5 π 6 3 π 4 π 2 π 6 0
 π₯ β ( π₯ ) β 1 β 1 2 0 β 3 2 1 π 2 3 π 4 π π 3 0
• A
• B
• C

Q3:

Find the exact value of in radians.

• A
• B
• C
• D
• E

Q4:

Find the exact value of in radians.

• A
• B0
• C
• D
• E

Q5:

Find the exact value of in radians.

Q6:

Find the exact value of in radians.

Q7:

Find the exact value of in radians.

• A
• B
• C
• D
• E0

Q8:

Find the exact value of in radians.

• A
• B0
• C
• D