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A day full of math games & activities. Find one near you.
A day full of math games & activities. Find one near you.
A day full of math games & activities. Find one near you.
Find sin(2x), cos(2x), and tan(2x) from the given information. tan(x) = -12/5 , x in quadrant II
Solution:
Given: tan(x) = -12/5
⇒ x = tan-1(-12/5)
Clearly, tanx value is negative so we can say that x lies in either Q2 or Q4
But given that x lies in quadrant II
⇒ x = 180° - tan-1(12/5)
⇒ x = 180° - 67.38°
⇒ x = 112.62°
Now, sin(2x) = sin(2 × 112.62) = sin(225.24) = -0.81
cos(2x) = cos(2 × 112.62) = cos(225.24) = 0.57
tan(2x) = tan(2 × 112.62) = tan(225.24)
From trignometric identities, we know that tanx = sinx/cosx
tan(2x) = sin(225.24) / cos(225.24)
tan(2x) = -0.81/0.57 = -1.42
tan(2x) = -1.42
Find sin(2x), cos(2x), and tan(2x) from the given information. tan(x) = -12/5 , x in quadrant II
Summary:
If tan(x) = - 12/5, x in quadrant II then sin(2x) is -0.81, cos(2x) is 0.57 and tan(2x) is -1.42
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