Trigonometry

If tan θ = 1, find the value of (sin θ + cos θ).

Simplify: (1 - sin²θ) * sec²θ

In a right-angled triangle, if cot A = 12/5, find the value of cosec A.

Evaluate: 2 sin 45° cos 45°

If 5 tan θ = 4, then (5 sin θ - 3 cos θ) / (5 sin θ + 2 cos θ) is equal to:

Find the value of: tan 30° * cot 60°

If cos θ = 1/2, find the value of (1 - 2 sin²θ).

The value of (1 + tan²θ) / (1 + cot²θ) is:

If sin θ = x/y, then cos θ is equal to:

Find the value of cos 1° * cos 2° * cos 3° ... cos 90°.

If sin θ + sin²θ = 1, then the value of (cos²θ + cos⁴θ) is:

What is the value of (sin 30° / cos 30°) * (tan 60°)?

If cosec θ = 2, find the value of (cot θ + sin θ).

Simplify: sin θ * sec θ

If tan A = 4/3, what is the value of (1-sin A)/(1+sin A)?

The value of sin² 45° + cos² 45° is:

If cos θ = 4/5, find the value of tan²θ.

Evaluate: sin 60° cos 30° + cos 60° sin 30°

If tan θ = a/b, find the value of (cos θ + sin θ) / (cos θ - sin θ).

What is (sec θ - tan θ)(sec θ + tan θ)?