Question 1
What is the exact value of \(\csc\left(\frac{5\pi}{6}\right)\)?
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Specialist Mathematics · Unit 2 · Trigonometry and functions · The reciprocal trigonometric functions, secant, cosecant and cotangent (3
Define and use the reciprocal trigonometric functions to determine their simplified exact values and sketch their graphs.
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Question 2
Consider the function \( f(x) = 3\csc\left(\frac{x}{2}\right) - 2 \) where \( 0 < x < 2\pi \). (a) Determine the exact value of \( f\left(\frac{\pi}{3}\right) \). (1 mark) (b) Determine all values of \( x \) in the domain for which \( f(x) = 1 \). Express your answer in exact form. (2 marks)
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