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Section 10.6: The Inverse Trigonometric Functions - Ostts.org

Section 10.6: The Inverse Trigonometric Functions - Ostts.org

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<strong>10.6</strong> <strong>The</strong> <strong>Inverse</strong> <strong>Trigonometric</strong> <strong>Functions</strong> 849<strong>10.6</strong>.6 Answers(1. arcsin (−1) = − π √ )(32. arcsin − = − π √ )23. arcsin − = − π 22 32 4(4. arcsin − 1 )= − π ( 15. arcsin (0) = 0 6. arcsin =2 62)π 6(√ )(√ )27. arcsin = π 38. arcsin = π 9. arcsin (1) = π 2 42 32( √ )(310. arccos (−1) = π 11. arccos − = 5π √ )212. arccos − = 3π 2 62 4(13. arccos − 1 )= 2π 2 3(√ )216. arccos = π 2 414. arccos (0) = π 2(√ )317. arccos = π 2 619. arctan ( − √ 3 ) = − π 20. arctan (−1) = − π 34(√ )322. arctan (0) = 0 23. arctan = π 3 6( 115. arccos =2)π 318. arccos (1) = 0( √ )321. arctan − = − π 3 624. arctan (1) = π 425. arctan (√ 3 ) = π 3( √ )328. arccot − = 2π 3 326. arccot ( − √ 3 ) = 5π 629. arccot (0) = π 227. arccot (−1) = 3π 4(√ )330. arccot = π 3 331. arccot (1) = π 432. arccot (√ 3 ) = π 633. arcsec (2) = π 334. arccsc (2) = π 6(2 √ )337. arcsec = π 3 635. arcsec (√ 2 ) = π 4(2 √ )338. arccsc = π 3 336. arccsc (√ 2 ) = π 439. arcsec (1) = 040. arccsc (1) = π 241. arcsec (−2) = 4π 342. arcsec ( − √ 2 ) = 5π 4

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