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4. Inverse Trigonometric Functions
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Q4 of 303 Page 4

Evaluate each of the following:

As sec(–θ) is sec(θ)


∴ sec = sec


The value of sec is –√2 .


Let sec–1(–√2) = y


⇒ sec y = –√2


= – sec = √2


= sec


= sec


The range of principal value of sec–1is [0, π]–{}


and sec = –√2.


Therefore, the value of sec–1sec is .


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Questions · 303
4. Inverse Trigonometric Functions
1 1 1 1 1 1 2 2 3 3 3 3 4 5 1 2 3 4 4 4 4 5 5 5 5 1 1 1 1 2 2 3 3 3 1 1 1 1 2 2 3 3 1 1 1 1 1 2 3 3 3 3 1 1 1 1 2 3 3 3 3 1 1 1 1 1 1 1 1 1 1 2 2 2 2 2 2 2 2 3 3 3 3 3 3 3 3 4 4 4 4 4 4 4 4 5 5 5 5 5 5 6 6 6 6 6 6 7 7 7 7 7 7 7 7 7 7 1 1 1 1 1 1 1 1 1 2 2 2 2 3 4 1 1 1 2 2 2 3 1 1 1 1 1 2 3 4 5 6 7 8 9 10 1 1 1 2 3 3 3 3 3 3 3 3 3 3 4 1 2 2 2 3 3 1 2 3 4 1 1 1 1 2 2 2 2 2 2 2 2 2 2 3 4 4 5 6 7 7 8 8 8 8 8 8 9 10 11 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60
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