Trigonometry - Test Questions

Question 1

Question:   How many radian are there in 120^o 30'? Keep the answer correct to three decimal places ( p = 3.1416).

Answer:    180^o = pc

Question 2

Question:   The wheel of railway carriage is 90 cm in diameter and makes 3 revolutions in a second. How fast is the train moving?

Answer:   




= 30.55 km/hr
Note:
1m = 100cm
1km = 1000m
= (1000)(100)
= 100000 cms

Question 3

Question:   Assuming the mean distance of the earth from the sun to be 149700000 km and the angle subtended by the sun at the eye of a person on the earth is 32'. Find the suns diameter.

Answer:    Let D be the diameter of the sun in km. The angle subtended by the sun being very small, its diameter is almost equal to an arc of a circle whose centre is the eye of the observer. Also the angle subtended by the sun at the centre of this circle is 32'.

Question 4

Question:   Prove the following identity:

Answer:   

Question 5

Question:   Prove the following identity:

Answer:   

Question 6

Question:   Prove the following identity:

Answer:   

Question 7

Question:   Prove the following identity:

Answer:   

Question 8

Question:   Prove the following identity:

Answer:   

Question 9

Question:   Prove the following identity:

Answer:   

Question 10

Question:   Prove the following identity:

Answer: