Trigonometry Part 2 Quiz

Trigonometry Part 2 Quiz takes you deeper into the world of angles and ratios with engaging challenges that feel both familiar and fresh. A fun bit of trivia is that trigonometry has been used for centuries not just in mathematics but in navigation across seas. Sailors relied on the stars and simple trigonometric ratios to chart their course, long before GPS made travel easy. It is fascinating to think how the same identities you solve today were once tools for survival. This trigonometry quiz offers clear MCQs that bring identities and quadrant rules into play. You will find a mix of concepts that make this trigonometry identities quiz enjoyable and approachable.

Trigonometry Part 2

Which identity is correct for sec²θ?

sec²θ = 1 – tan²θ

sec²θ = 1 + tan²θ

sec²θ = tan²θ – 1

sec²θ = cot²θ + 1

In a right-angled triangle, if sin(θ)= 8/17, what is cos(θ)?

17/15

16/17

15/17

14/17

If tan θ = p/q, what is sec²θ in terms of p and q?

1 – p²/q²

(p² – q²)/q²

p²/q² – 1

1 + p²/q²

The angle of elevation is the angle from the horizontal up to an object. True or False?

False

True

Depends on the object

Depends on the angle

The angle of depression is the angle from the horizontal down to an object. True or False?

Depends on the object

Depends on the angle

False

True

If the angle of elevation from a point on the ground to the top of a tower is 30°, and the height of the tower is 50 meters, how far is the point from the base of the tower?

50√3 m

50 m

50/√3 m

60 m

If an angle is in the second quadrant, which trigonometric ratios are positive?

Tangent and Cotangent

Cosine and Secant

Sine and Cosecant

All of them

If the angle is in the third quadrant, which trigonometric ratios are positive?

Tangent and Cotangent

Sine and Cosecant

Cosine and Secant

All of them

The angle is in the fourth quadrant, which trigonometric ratios are positive?

Sine and Cosecant

Tangent and Cotangent

Cosine and Cotangent

Cosine and Secant

If sin θ = cos θ, then θ equals?

30°

45°

60°

90°

Your score is

The average score is 0%

Sample Questions from This Quiz

Which identity is correct for sec²θ?
In a right-angled triangle, if sin(θ)= 8/17, what is cos(θ)?
If tan θ = p/q, what is sec²θ in terms of p and q?
The angle of elevation is the angle from the horizontal up to an object. True or False?
The angle of depression is the angle from the horizontal down to an object. True or False?

Try the full quiz and see how many of these you can answer!