Find the lengths of both circular arcs of the unit circle connecting the point (− 3/2, −1/2) and the endpoint of the radius that makes an angle of 20◦ with the positive horizontal axis.
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Find the lengths of both circular arcs of the unit circle connecting the point (− 3/2, −1/2)
and the endpoint of the radius that makes an angle of 20◦ with the positive horizontal axis.
√√
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Find the lengths of both circular arcs of the unit circle connecting the point (− 2/2, − 2/2)
and the endpoint of the radius the makes an angle of 8 radians with the positive hori- zontal axis.
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Find the smallest number x such that cos(ex + 1) = 0.
4. Given that
sin 22.5 = √2-√2 / 2 (the first square root covers the whole top row of 2-√2)
find an exact expression for tan 22.5◦.
5. Suppose you need to find the height of a tall building. Standing 15 meters away from the base of the building, you aim a laser pointer at the closest part of the top of the building. You measure that the laser pointer is 7◦ tilted from pointing straight up. The laser pointer is held 2 meters above the ground. How tall is the building?
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