Trigonometry Answers

prove that tan(60+A).tan(60-A)=2cos2A+1/2cos2A-1

if 2tan(alpha)=3tan(beta), prove that tan(alpha-beta)=sin(2beta)/5-cos(2beta)

prove that
a)cos(90-/theta)cosec(90-/theta)=tan/theta

Cos70=h and sin35=k, express in terms of h and/or k,
Cos149=?

(cosA-sinA+1) / (cosA+sinA-1) = cosecA+cotA

asin(B-C)+bsin(C-A)+csin(A-B)

1.) A circle of area 24 square units has a sector of area 10 square units. Calculate the central angle formed by the sector
2.) If the central angle =10 rad, and the area of the sector formed is 25 square units, find the area of the circle.
3.) Through what angle in degrees must the pendulum with 40 cm. long be rotated to travel an arc length of 5 cm.?
4.) If the minute hand of the clock has length of 6pi inches, how far does its tip travel in 18 minutes?
5.) How many cm will the weight suspended on a pulley rise if the pulley 11.5 cm. in radius is rotated through an angle of 70degrees45?
6.) Find the radius of the pulley if the rotation of 45.9 raises the weight to a height of 10.3 cm.?
7.) In a circle of radius 6 in., the length of the arc of a sector is 6pi inches, what is the area of the sector?

find the values of √sinθ cosθ/secθ cscθ given that tan=3/4 and θ is an acute angle.

the angle of elevation of the sun is 20 degrees.at the same time, how long is the shadow cast by a building 50m high?