If 0° < θ < 90° then sin θ < sin²θ

If r cosθ = 2√3 and r sinθ = 2, then find the value of r and θ when 0° < θ < 90°.

If tan 2A = cot(A – 30°), then find the value of sec(A + 20°)

If sin (θ + 30°) = cos 15°, then find the value of cos 2θ.

If tan θ cos 60° = then the value of sin(θ - 15°) is _____.

If tan θ = find the value of sin θ.

If sin 17° = then show that sec 17° - sin 73° =

State True or False: The values ​​of cos 36° and sin 54° are equal.

If ∠A and ∠B are complementary then ∠A + ∠B = _____

In the given diagram, O is the centre of the circle. Chord SR produced meets the tangent XTP at P. (a) Prove that △PTR ∼ △PST. (b) Prove that PT² = PR × PS. (c) If PR = 4 cm and PS = 16 cm, find the length of tangent PT.

Refer to the bill below. A customer paid ₹2,000, rounded to the nearest ₹10, to clear it. Note: A 5% discount applies to an article when 10 or more units are purchased. Article Marked price Quantity GST A ₹190 6 12% B ₹50 12 18% Check whether the amount paid is correct. Justify your answer with working.

In the given diagram, chords AC and BC are equal. If ∠ACD = 120°, then ∠AEC is: (a) 30° (b) 60° (c) 90° (d) 120°