Trigonometry Answers

A building 8 feet high is 27/8 feet from a building. Find the length of the shortest ladder which will clear the wall and rest with one end on the ground and the other end on the building. Also, find the angle which this ladder makes with the horizontal?

Let θ be an angle such that π ≤ θ ≤ π. Simplify the following expression:
2
underroot( tanθ +1. cot θ)

A 10-foot rope connects the top of the tent pole to the ground. If the rope makes an angle of 45 degree with the ground, find the length of the tent pole

cos∝= √3/2 and 270°<∝<360°. Find: a) sin∝, b) tg∝, c) cotg∝

a) cos2-cos2.1
b) sin2-sin2.1

Jenny walks 4km on a bearing 052 degree . She changes direction and walks a further 5 km to finish due east of her starting point . Find how far jenny is from starting point.

Prove that sin(A+B)/sin(A-B)+cos(A+B) +cos(A-B)/sin(A-B)+cos(A+B)=tan(phi/4 +B)

From a lighthouse L an aircraft carrier A is 15km away on a bearing of 112 degrees and a submarine S is 26 km away on a bearing of 200 degrees. Find
a) the distance between A and S
b) the bearing of A from S

prove sin(A+B) + cos(A-B) / sin(A -B) + cos(A +B) = tan(180/4 + B)

solve for x: 3tan^3x-tanx=0