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4. Suppose the reciprocal T button on a calculator is broken. Assume division and, more broadly, arithmetic operations keys don't work, ei- ther. Keys to enter numbers, including decimals (.) and signed numbers (+/-), do work. Show how the reciprocal of any nonzero real number x can be com- puted using some combination of a calculator's trigonometry keys, namely: sin, cos, tan, sin-¹, cos¹,tan-¹

4. Suppose the reciprocal T button on a calculator is broken. Assume division and, more broadly, arithmetic operations keys don't work, ei- ther. Keys to enter numbers, including decimals (.) and signed numbers (+/-), do work. Show how the reciprocal of any nonzero real number x can be com- puted using some combination of a calculator's trigonometry keys, namely: sin, cos, tan, sin-¹, cos¹,tan-¹

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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4. Suppose the reciprocal I button on a calculator is broken. Assume division and, more broadly, arithmetic operations keys don't work, ei- ther. Keys to enter numbers, including decimals (.) and signed numbers (+/-), do work. Show how the reciprocal of any nonzero real number x can be com- puted using some combination of a calculator's trigonometry keys, namely: -1 sin, cos, tan, sin-¹, cos¹, tan-¹
Transcribed Image Text:4. Suppose the reciprocal I button on a calculator is broken. Assume division and, more broadly, arithmetic operations keys don't work, ei- ther. Keys to enter numbers, including decimals (.) and signed numbers (+/-), do work. Show how the reciprocal of any nonzero real number x can be com- puted using some combination of a calculator's trigonometry keys, namely: -1 sin, cos, tan, sin-¹, cos¹, tan-¹
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Step 1

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sin-1(1/x) = cosec(x) 

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