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The sigma notation for the following finite series is: 1 + 4 + 7 + 10 + 13 + 16

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.

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?

The number of bacteria N(t) present in a culture at time t hours is given N(t)=1500(2)t. The number of bacteria present at time 0 hours is

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.

Simplify sin 55° cos 15° + cos 55° sin 15°

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

If loga x=2, loga y=3,  and loga z=4, what is log⁡axz3y2z−23{math:log⁡axz3y2z−23}?