Quantitative Aptitude Questions and Answers section on “Trigonometry” with solution and explanation for competitive examinations such as CAT, MBA, SSC, Bank PO, Bank Clerical and other examinations.

# Trigonometry

The circular measure of an angle of an isoceles triangle is 5π/9. Circular measure of one of the other angles must be

[A]

[B]

[C]

[D]

Sum of remaining two angles =

∴ Each angle =

Hence option [B] is the right answer.

radians is equals to :

[A]120°

[B]180°

[C]108°

[D]100°

**108°**

°

=108°

Hence option [C] is the right answer.

If and , then Θ is:

[A]

[B]

[C]

[D]

** **

Given Expression,

°

°

°=

°

Hence option [D] is the right answer.

In circular measure, the value of the angle 11°15′ is :

[A]

[B]

[C]

[D]

11°15′

+

+ =

[180° = π Radian]

Hence option [A] is correct answer.

In a triangle ABC, and . The circular measure of is:

[A]

[B]

[C]

[D]

Hence option [D] is the right answer.

The degree measure of 1 radian is :

[A]

[B]

[C]

[D]

Hence option [C] is the right answer.

In the sum of two angles is and their difference is . Then the circular measure of the greater angle is :

[A]

[B]

[C]

[D]

Two angles = A and B where A > B.

…..(1)

…..(2)

On adding these equations,

Hence option [B] is the right answer.

If the sum and difference of two angles are and respectively, then the value of smaller angle in degree taking the value of as is :

[A]

[B]

[C]

[D]

….(1)

According to the question,

and, ……(2)

On adding

From equation (1),

Hence option [D] is the right answer.

If the value of is :

[A]-1

[B]1

[C]0

[D]2

**0**

Hence option [C] is the right answer.

The minimun value of is :

[A]0

[B]2

[C]3

[D]1

**2**

Minimum value of

But

Hence required minimum value = 2 + 0 = 0

Option [B] is the right answer.