Learn Numerical Ability Trigonometry, Delhi Police Exam Numerical Ability Trigonometry Exercise, Free Online Trigonometry Lessons

Delhi Police Exam Numerical Ability Study Material

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Trigonometry

If y = f(x) and x = g(y) are two functions such that f (g(y)) = y and g (f(y)) = x, then f and y are said to be ___________ of each other.

a) Derivative
b) Product
c) Inverse
d) Integration

✔Answer

Correct Answer Is : Inverse

Solution Is :

If y = f(x) and x = g(y) are two functions such that f (g(y)) = y and g (f(y)) = x, then f and y are said to be inverse of each other. That means:

a) F = g
b) G = f
c) G = f^(-1)
d) F = g^(-1)

✔Answer

Correct Answer Is : G = f^(-1)

Solution Is :

In inverse trigonometric functions if y = f(x), then x = __________ .

a) F = g
b) G = f
c) F^(-1)(x)
d) F^(-1)(y)

✔Answer

Correct Answer Is : F^(-1)(y)

Solution Is :

True or false: The trigonometric equation may have infinite number of solutions.

a) TRUE
b) FALSE
c) Maybe
d) None of these

✔Answer

Correct Answer Is : TRUE

Solution Is :

If y = sin x^(-1), then x = ________ .

a) Sin^(-1) y
b) Sin y
c) Sin^(-1) x
d) Sin x

✔Answer

Correct Answer Is : Sin^(-1) y

Solution Is :

An equation involving one or more trigonometrical ratios of unknown angle is called a _________ .

a) Trigonometric equation
b) Inverse trigonometric equation
c) Both 1 and 2
d) None of these

✔Answer

Correct Answer Is : Trigonometric equation

Solution Is :

A value of the unknown angle which satisfies the given equation, is called a __________ .

a) Root of the equation
b) Solution of the equation
c) Both 1 and 2
d) None of these

✔Answer

Correct Answer Is : Both 1 and 2

Solution Is :

Which equation have infinite number of solutions?

a) Trigonometric equation
b) Inverse trigonometric equation
c) Differential equation
d) Integration equation

✔Answer

Correct Answer Is : Trigonometric equation

Solution Is :

The least value of unknown angle which satisfies the given equation, is called a __________ .

a) Principal solution of trigonometric equation
b) Principal solution of inverse trigonometric equation
c) Solution of trigonometric equation
d) Solution of inverse trigonometric equation

Delhi Police Exam Numerical Ability Study Material

Trigonometry

If y = f(x) and x = g(y) are two functions such that f (g(y)) = y and g (f(y)) = x, then f and y are said to be ___________ of each other.

Correct Answer Is : Inverse

Solution Is :

If y = f(x) and x = g(y) are two functions such that f (g(y)) = y and g (f(y)) = x, then f and y are said to be inverse of each other. That means:

Correct Answer Is : G = f^(-1)

Solution Is :

In inverse trigonometric functions if y = f(x), then x = __________ .

Correct Answer Is : F^(-1)(y)

Solution Is :

True or false: The trigonometric equation may have infinite number of solutions.

Correct Answer Is : TRUE

Solution Is :

If y = sin x^(-1), then x = ________ .

Correct Answer Is : Sin^(-1) y

Solution Is :

An equation involving one or more trigonometrical ratios of unknown angle is called a _________ .

Correct Answer Is : Trigonometric equation

Solution Is :

A value of the unknown angle which satisfies the given equation, is called a __________ .

Correct Answer Is : Both 1 and 2

Solution Is :

Which equation have infinite number of solutions?

Correct Answer Is : Trigonometric equation

Solution Is :

The least value of unknown angle which satisfies the given equation, is called a __________ .

Correct Answer Is : Principal solution of trigonometric equation

Solution Is :

Trigonometric function are _________ .

Correct Answer Is : Periodic

Solution Is :

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