If 270°<θ<360°, and tan θ= - 1/2, what is the value of tan(−θ)?
1 answer:
Check the picture below.
let's recall that once we move an angle in the opposite direction of the 0-line or x-axis, we end up with a negative counterpart angle.
since we know that θ is on the IV Quadrant, then its negative counterpart must be across the line, and tangent is negative on the IV Quadrant, and positive on the I Quadrant.
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The length of PR is 4.4 units.
Explanation:
It is given that the length of the hypotenuse is 10 units.
Also, the angle of R is 64°
To find the length of PR, we shall use the cosine formula,
Here, , adj = PR and hyp = 10
Substituting these values in the formula, we get,
Multiplying both sides by 10, we get,
Substituting the value for cos 64, we get,
Multiplying, we have,
Rounding off, we get,
Thus, the length of PR is 4.4 units.