Given tan  α=33{math:α=33}and sin β=32{math:β=32} and α{math:α} and β are between 0 and π2{math:π2}, find cos (α{math:α} + β) exactly.

Two ships are on an east-west line from each other. There is a lighthouse on the shore whose position as seen from one ship is N60.67°W and from the other ship N55.17°E. The first ship is 80 km from the lighthouse. To the nearest kilometer, how far apart are the ships?

Two ships are on an east-west line from each other. There is a lighthouse on the shore whose position as seen from one ship is N60.67°W and from the other ship N55.17°E. The first ship is 80 km from the lighthouse. To the nearest kilometer, how far apart are the ships?

State the nth term definition for the following sequence: 84, 42, 21, 10.5, . . .

The recursive definition for the following sequence is: 1, 1, 2, 3, 5, 8, 13, . . .

Two ships are on an east-west line from each other. There is a lighthouse on the shore whose position as seen from one ship is N60.67°W and from the other ship N55.17°E. The first ship is 80 km from the lighthouse. To the nearest kilometer, how far apart are the ships?

State the nth term definition for the following sequence: 84, 42, 21, 10.5, . . .

Let sin x = A, cos x = B, sin y = C, and cos y = D: sin(x+y)+sin(x-y)=

Find cos 2θ and the quadrant in which 2θ lies if  tan⁡ θ⁢= −34{math:tan⁡ θ⁢= −34} and θ is quadrant IV.

Find cos 2θ and the quadrant in which 2θ lies if  tan⁡ θ⁢= −34{math:tan⁡ θ⁢= −34} and θ is quadrant IV.