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Quantitative Aptitude Practice Trigonometry Study Material

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Inverse Trigonometric Functions

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

✔Answer

Correct Answer Is : Principal solution of trigonometric equation

Solution Is :

Trigonometric function are _________ .

a) Periodic
b) Non periodic
c) Both 1 and 2
d) None of these

✔Answer

Correct Answer Is : Periodic

Solution Is :

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Quantitative Aptitude Practice Trigonometry Study Material

Inverse Trigonometric Functions

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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