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Answer the following:
State the signs of cot 1899°
Concept: undefined >> undefined
Answer the following:
State the signs of sin 986°
Concept: undefined >> undefined
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Answer the following:
State the quadrant in which θ lies if tan θ < 0 and sec θ > 0
Concept: undefined >> undefined
Answer the following:
State the quadrant in which θ lies if sin θ < 0 and cos θ < 0
Concept: undefined >> undefined
Answer the following:
State the quadrant in which θ lies if sin θ > 0 and tan θ < 0
Concept: undefined >> undefined
Answer the following:
Which is greater sin(1856°) or sin(2006°)?
Concept: undefined >> undefined
Answer the following:
Which of the following is positive? sin(−310°) or sin(310°)
Concept: undefined >> undefined
Answer the following:
Show that 1 − 2sinθ cosθ ≥ 0 for all θ ∈ R.
Concept: undefined >> undefined
Answer the following:
Show that tan2θ + cot2θ ≥ 2 for all θ ∈ R
Concept: undefined >> undefined
Answer the following:
If sec θ = `sqrt(2)` and `(3pi)/2 < theta < 2pi` then evaluate `(1 + tantheta + "cosec"theta)/(1 + cottheta - "cosec"theta)`
Concept: undefined >> undefined
Without expanding evaluate the following determinant:
`|(1, "a", "b" + "c"),(1, "b", "c" + "a"),(1, "c", "a" + "b")|`
Concept: undefined >> undefined
Without expanding evaluate the following determinant:
`|(2, 3, 4),(5, 6, 8),(6x, 9x, 12x)|`
Concept: undefined >> undefined
Without expanding evaluate the following determinant:
`|(2, 7, 65),(3, 8, 75),(5, 9, 86)|`
Concept: undefined >> undefined
Prove that `|(x + y, y + z, z + x),(z + x, x + y, y + z),(y + z, z + x, x + y)| = 2|(x, y, z),(z, x, y),(y, z, x)|`
Concept: undefined >> undefined
Using properties of determinant show that
`|("a" + "b", "a", "b"),("a", "a" + "c", "c"),("b", "c", "b" + "c")|` = 4abc
Concept: undefined >> undefined
Using properties of determinant show that
`|(1, log_x y, log_x z),(log_y x, 1, log_y z),(log_z x, log_z y, 1)|` = 0
Concept: undefined >> undefined
Solve the following equation:
`|(x + 2, x + 6, x - 1),(x + 6, x - 1, x + 2),(x - 1, x + 2, x + 6)|` = 0
Concept: undefined >> undefined
If `|(4 + x, 4 - x, 4 - x),(4 - x,4 + x,4 - x),(4 - x,4 - x, 4 + x)|` = 0, then find the values of x.
Concept: undefined >> undefined
Without expanding determinants show that
`|(1, 3, 6),(6, 1, 4),(3, 7, 12)| + 4|(2, 3, 3),(2, 1, 2),(1, 7, 6)| = 10|(1, 2, 1),(3, 1, 7),(3, 2, 6)|`
Concept: undefined >> undefined
Select the correct option from the given alternatives:
The determinant D = `|("a", "b", "a" + "b"),("b", "c", "b" + "c"),("a" + "b", "b" + "c", 0)|` = 0 if
Concept: undefined >> undefined
