Simplify: .
Hint
Answer
2.618 radians
Find
Inverse sine is limited to Quadrants I and IV.
30°
Find tan-1(-1).
Inverse tangent is limited to Quadrants I and IV.
315°, or -45°
Find .
300°, or -60°
Find Give your answer in radians.
Find sec-1(2) in radians.
If in Quadrant II, what is tan ɵ?
Remember ASTC. Tangent is negative in Quadrant II.
-1
If in Quadrant II, what is cos ɵ?
Cosine is negative in Quadrant II. He's a real bummer.
If in Quadrant IV, what is tan ɵ?
It's all about the ASTC, yo. Tangent is negative in Quadrant IV.
If in Quadrant II, what is sin ɵ?
Ah yes, Quadrant II. Home of the positive sine.
If in Quadrant III, what is cos ɵ?
You know who's negative in Quadrant III? Cosine, that's who.
If in Quadrant I, what is tan ɵ?
Everybody's positive in Quadrant I. Try using Pythagoras.
Use a sum or difference identity to find cos(-15°).
cos(30° – 45°)
Use a sum or difference identity to find sin(15°).
sin(45° – 30°)
Use a sum or difference identity to find sin(255°).
sin(300° – 45°)
Use a sum or difference identity to find sin(285°).
sin(225° + 60°)
Use a sum or difference identity to find cos(195°).
cos(135° + 60°)
Find tan(105°).
tan(105°) = tan(60° + 45°)
Find tan(15°).
tan(15°) = tan(45° – 30°)
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