Explanation

A triangle is classified based on its angles.

If one angle is 90°, it is a right-angled triangle.

The given triangle has angles 30°, 60°, and 90°.

Since it contains a 90° angle, it is a right triangle.

Last verified on 25-05-2026

Explanation

A secant is a straight line that intersects a circle.

It passes through the circle and cuts it at two points.

Last verified on 25-05-2026

Explanation

cosecθ is just 1 over sinθ.  

So sinθ × cosecθ = sinθ × (1/sinθ) = 1.

The sinθ cancels out, and you’re left with 1.

Last verified on 25-05-2026

Explanation

If sinθ = 9/41, use the identity sin²θ + cos²θ = 1.

First find sin²θ: (9/41)² = 81/1681.  

Then cos²θ = 1 - 81/1681 = 1600/1681.  

Take the square root and you get cosθ = 40/41.

Last verified on 25-05-2026

Explanation

A diameter divides a circle into two equal halves.

Any angle formed at the circumference by a diameter is 90°.

This is a key property of circles in geometry.

It is based on the angle in a semicircle theorem.

Always forms a right-angled triangle inside the circle.

Last verified on 25-05-2026