Trigonometry || 05.02.2023

If 21 tanθ = 20, then, (1 + sinθ – cosθ) : (1 – sinθ + cosθ) is equal to:

If tan²x – 3tanx + 2 = 0 and (0° < x < 90°), then the value of x is:

 is equal to:

What number should be subtracted from 4(sin⁴ 60° + cos⁴30°) – (tan²45° – cot²30°) + cos²45° – cosec²45° + sec²60° to get 2?

The elimination of θ from x cosθ – y sinθ = 2 and x sinθ + y cosθ = 4 will give:

If (cos²θ – 1) (2sec²θ) + sec²θ + 2tan²θ = 2, 0°< θ < 90°, then  is equal to:

The value of
 is:

If secθ = , b ≠ 0, then  = ?

If , then the value of (secθ – tanθ) is:

If sin θ + sin² θ = 1, then the value of cos² θ + cos⁴ θ is equal to: