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An object travels in a circular path and stops at a particular point. If the object generates an angle of 900°, how many revolutions does the object travelled from the starting point to the terminal point?


Two ships A and B sail simultaneously from the same place. vessel A on course 300at 15 knots and B on course N 45°E at 10 knots. How many Nautical Miles sailed by vessel A at the end of 1 hr. & 30 mins.?


Find the solutions of the equation if 0≤𝑡<2𝜋

tan^2 𝑡−1=0



A pendulum of length 10 cm has swung so that θ is the radian measure of the angle formed by the pendulum and a vertical line. Find h in terms of θ


The lateral edge of a pyramidal church spire is 61 ft. Each side of the

octagonal base is 22 ft. What will be the cost of painting the spire at

$0.025 a square foot?



Simplify a trigonometric expression sin θ cos2 θ − sin θ


Find the exact value of each expression

sec 30◦ cos 30◦ − tan 60◦ cot 60◦


1. Solve the spherical triangle ABC right angled C given c= 56°13´ and b=48°30´.


 Solve the following spherical triangle using Law of Sine and Cosine.

2. A= 82°, b=100°, c=78° Find: B


The lateral edge of a pyramidal church spire is 61 ft. Each side of the

octagonal base is 22 ft. What will be the cost of painting the spire at

$0.025 a square foot?


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