- Acot θ = 11/60, cosec θ = 61/60
- Bcot θ = 60/11, cosec θ = 61/60
- Ccot θ = 60/11, cosec θ = 61/11
- Dcot θ = 61/11, cosec θ = 60/11
Step-by-Step Solution
and .
Answer: C) cot θ = 60/11, cosec θ = 61/11
In right triangle XYZ (∠Y = 90°), which pair gives cot θ and cosec θ for the angle θ marked at X?
Class 10Introduction to TrigonometryTrigonometry
Key idea: Why ratios — and not lengths
Two right triangles with the same acute angle θ are SIMILAR (Class 10 ch. 6 — AA criterion: both have a right angle and the angle θ).
Similar triangles → corresponding sides in fixed ratio.
So the ratio (opposite / hypotenuse) takes the SAME value in any right triangle with angle θ — regardless of how big the triangle is.
That's why sin θ, cos θ, tan θ are FUNCTIONS of the angle alone — they're well-defined.
This is the fundamental reason trigonometry works as a clean theory.
Similar triangles → corresponding sides in fixed ratio.
So the ratio (opposite / hypotenuse) takes the SAME value in any right triangle with angle θ — regardless of how big the triangle is.
That's why sin θ, cos θ, tan θ are FUNCTIONS of the angle alone — they're well-defined.
This is the fundamental reason trigonometry works as a clean theory.
Master this chapter in 30 minutes a day.
Don't just memorise the answer — build a daily practice habit.
Practice 5 Similar Questions Free →All Introduction to Trigonometry practice questions
More Class 10 Introduction to Trigonometry practice
ABCD is a rectangle. Its diagonal AC is 12 cm and makes an angle of 30° with the side…The sloping roof of Kavita's house has two equal rafters of 8.5 m each. The top of the…A sun ray at 60° to the ground just grazes the top of a 1.5 m wall and reaches the…In a right triangle, which side is called the hypotenuse?Evaluate: 5 cos²60° + 4 sec²30° − tan²45°. (Give the exact value.)