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Observe the two graphs, Graph 1 and Graph 2 given below and answer the questions that follow. Which…
Observe the two graphs, Graph 1 and Graph 2 given below and answer the questions that follow.
(i)[1.0]
Which one of the graphs represents $y = \sin^{-1} x$?
(ii)[1.0]
Write the domain and range of $y = \sin^{-1} x$.
(iii)[2.0]
Prove that $\sin^{-1}\frac{3}{5} + \sin^{-1}\frac{8}{17} = \sin^{-1}\frac{77}{85}$.
(iv)[2.0]
Find the value of $\tan^{-1}\left(2\sin\left(2\cos^{-1}\frac{\sqrt{3}}{2}\right)\right)$
Answer
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From ISC 2025 Mathematics Paper 1, question 13.