Application of Trigonometry, Inverse Trigonometric Functions, and Solutions of Trigonometric Equations

A test from chapter 12, 13 and 14 i.e Application of Trigonometry, Inverse Trigonometric Functions, and Solutions of Trigonometric Equations of Mathematics part 1. This is Free online test for FSc and Entry test Preparation for UET, NUST, FAST, GIKI, PIEAS, NFC, Punjab University, UHS, other Engineering Universities and Medical Colleges.

1. If b+c=3a, then cotB/2cotC/2=

A) 3
B) 1
C) 4
D) 2

2. If the area of triangle is 75 square metres and two of its sides are 20 and 15 metres, then the included angle is

A) 30 degree
B) 60 degree
C) 150 degreeBoth A and C
D)

3. If ∆ is the area of the ∆ABC, its simi perimeter, then abc cosA/2cosB/2CosC/2=

A) 2s∆
B) s∆
C) 3s∆
D) s^2

4. In any ∆ABC, if a=18, b=24, c=30 then r=

A) 6
B) 9
C) 12
D) 8

5. In an equilateral ∆, r:R:r1

A) 1:2:3
B) 3:2:1
C) 3:1:2
D) 1:2:2

6. The solution of the equation sin2x+sin4x=2sin3x is

A) x=nπ/3
B) x=2nπ
C) x=nπ
D) Both A and B

7. Number of solution of the equation tanx+secx=2cosx,lying in the interval [0.2π], is

A) 0
B) 1
C) 2
D) 3

8. The quadratic equation 8sec^2θ-6secθ+1=0 has

A) Exactly two roots
B) infinite roots
C) exactly four roots
D) none of these

9. At a point 15 meters away from the base of a 15 metres high house, the angle of elevation of the top is

A) 90°
B) 60°
C) 30°
D) 45°

10. A person standing on the bank of a river observes that the angle subtended by a tree on the opposite bank is 60°, when he retreats 40m from the bank, he finds the angle to be 30°. The height of the tree and the breadth of the river are

A) 10(under root 3), 10m
B) 20(under root 3), 10 m
C) 20(under root 3), 20m
D) 10(under root 3), 5m