Question 4

4.1 Given: 𝑝.sin 𝛽 – 4 = 0 and 𝑝.cos 𝛽 + 3 = 0 where 𝑝 > 0

4.1.1 Explain why 𝛽 ∈ [90⁰;180⁰] (3)

4.1.3 Determine the numerical value of 𝑝.

4.2 Simplify without using a calculator:

sin143⁰.cos127⁰ – sin53⁰.cos37⁰

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