Trig Ratios

If sin θ = cos θ, find θ in the range 0 to 90 degrees.

Evaluate: (tan 45° / cot 45°) + (sin 90° / cos 0°)

If cot θ = 1/√3, find the value of sec²θ.

The value of sin 30° / cos 60° is:

If 3 cos θ = 1, find the value of cosec θ.

Simplify: (cosec²θ - 1) / cosec²θ

If sin(A+B) = 1 and cos(A-B) = √3/2, find A and B.

The value of cos 60° / sin 30° + tan 45° is:

If θ is acute and sin θ = 0.8, find tan θ.

Evaluate: 4 sin² 60° + 3 tan² 30° - 8 sin 45° cos 45°

If sin θ = 12/13, find the value of (sec θ + tan θ).

Identify the value of cot 30° / tan 60°.

If sec θ + tan θ = x, then sec θ - tan θ is:

Simplify: (sin θ / (1 + cos θ)) + ((1 + cos θ) / sin θ)

If tan θ + cot θ = 2, find the value of tan²θ + cot²θ.

Find the value of (1 + cot θ - cosec θ)(1 + tan θ + sec θ).

If sin θ = p/q, then what is the value of sqrt(q² - p²) / p?

Find the value of (sec A + tan A)(1 - sin A).

If 7 sin²θ + 3 cos²θ = 4, then tan θ is:

The expression (tan θ + sec θ - 1) / (tan θ - sec θ + 1) is equal to: