The range of f(x) = sin–1x + cos–1x + sec–1x is
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Answered by
57
Answer:
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Step-by-step explanation:
The function f is defined for x = ±1
Now, f(1) = sin-1(1) + sec-1(1) + tan-1(1)
= π/2 + 0 + π/4 = 3π/4
Also, f(-1)= sin-1(-1) + sec-1(-1) + tan-1(-1)
= - π/2 + π - 0 - π/4
= 3π/4 Thus, Rf = {π/4, 3π/4}
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Answered by
3
Answer:
The function f is defined for x = ±1
Now, f(1) = sin-1(1) + sec-1(1) + tan-1(1)
= π/2 + 0 + π/4 = 3π/4
Also, f(-1) = sin-1(-1) + sec-1(-1) + tan-1(-1)
= - π/2 + π - 0 - π/4
= 3π/4
Thus, Rf = {π/4, 3π/4}
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