Evaluate the following:

⋅ tan17 tan38 tan60 tan52 tan73 — 3(sin²32 + sin²58)

acosθ + bsinθ = p and asinθ— bcosθ = q, then prove that a² + b² = p² + q².

secθ + tanθ = p, then obtain the values of secθ, tanθ and sinθ in terms of p.

Evaluate the following:

If sinA + cosA = √2 sin(90—A), then obtain the value of cotA.