Question
If A:B = 2:3, B:C = 4:5, and C:D = 6:7, find
A:D.Solution
ATQ,
A:B:C:D = 2:3 × 4:5 × 6:7 Normalize B: 3→4 → multiply all by 4/3. A:B:C:D = 8:12:15:17.5 → ratio A:D = 8:17.5 = 16:35.
Evaluate the following:
sin 50° × cos 20° − sin 20° × cos 50°
If 9sin²x + 5cos²x − 7 = 0, then find the value of sinx, given that 0° < x < 90°.
- If 5cos²A + 2sin²A = 13/3, then find the value of (sec²A - 1)
- If sin(A + B) = 1/2 and cos(A + 2B) = 1/√2, where 0° < A, B < 90°, then find the value of tan(2A).

- If cos2B = sin(1.5B - 36 o ) , then find the measure of 'B'.
- If sin (4A − 5B) = (√2/2) and cos (A + B) = (√2/2), where 0° < A, B < 90°, then find the value of ‘A’.
If cos θ + sec θ = √2, then the value of cos³ θ+ sec³ θ is:
If cos2B = sin(1.5B + 6°), then find the measure of 'B'.
If cos 2A = 15, then find cos A