SOLUTION: If tan(x) = −40/9 and x is in quadrant IV, with 0° ≤ x < 360°, find the exact values of the expressions without solving for x.
(a) sin(x/2)
(b) cos(x/2)
(c) tan
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-> SOLUTION: If tan(x) = −40/9 and x is in quadrant IV, with 0° ≤ x < 360°, find the exact values of the expressions without solving for x.
(a) sin(x/2)
(b) cos(x/2)
(c) tan
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Question 1204118: If tan(x) = −40/9 and x is in quadrant IV, with 0° ≤ x < 360°, find the exact values of the expressions without solving for x.
(a) sin(x/2)
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If tan(x) = −40/9 and x is in quadrant IV, with 0° ≤ x < 360°, find the exact values of the expressions without solving for x.
(a) sin(x/2)
(b) cos(x/2)
(c) tan(x/2)
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If tan(x) = −40/9 and x is in quadrant IV, then it means that
the opposite leg is 40 units, the adjacent leg is 9 units and the hypotenuse is = = 41 unit.
It implies that cos(x) = .
Next, use the formulas for half argument
= = = = ;
= = = = ;
= .
