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Answer each of the following questions in one word or one sentence or as per exact requirement of the question:
Write the principal value of .
Given
= sin-1 (1/2)
Write the value of .
Write the difference between maximum and minimum values of sin–1x for x ∈ [–1, 1].
If , then write the value f x + y + z.
If x > 1, then write the value of in terms of tan–1 x.
If x < 0, then write the value of in terms of tan–1 x.
Writ the value of for x > 0.
Write the value of for x < 0.
What is the value of ?
If –1 < x < 0, then write the value of .
Writ the value of sin (cot–1 x).
Write the range of tan–1x.
Write the value of cos–1(cos 1540°).
Write the value of sin–1 (sin(–600°)).
Write the value of sin–1(1550°).
Evaluate: .
Write the value of cos–1(cos 350°) – sin–1(sin 350°).
If , then write the value of x + y + xy.
Write the value of cos–1 (cos 6).
Show that .
If , find x.
If , then find x.
If 4sin–1 x + cos–1 x = π, then what is the value of x?
If x < 0, y < 0 such that xy = 1, then write the value of tan–1 x + tan–1 y.
What is the principal value of ?
Write the principal value of cos–1(cos 680°).
Write the value of
Write the value of the expression , when .
The set of values of .
Write the value of for x < 0 in terms of cot–1(x).
Write the value of cot–1(–x) for all x ∈ R in terms of cot–1x.
Write the value of , when .
If , find the value of x.
Find the value of .