Step-by-step explanation:
Since we can get some information from this. First of all is defined as . So the adjacent side is 3 and the hypotenuse is 4. Using this we can find the opposite side to find to calculate csc and cot of theta. So using the Pythagorean Theorem we can solve for the missing side. Also I forget to mention we have to calculate the sign of the adjacent side and the hypotenuse. Since you're given that the angle is in quadrant 2, that means the x-value is going to be negative, and the y-value is going to be negative. And the x really represents the adjacent side and the y represents the opposite. So the adjacent side is what's negative. and the opposite is positive
Pythagorean Theorem:
So now we can calculate .
Now to calculate the exact value of csc you simply take the inverse. This gives you . Multiplying both sides by sqrt(7) to rational the denominator gives you .
Now to calculate cot(theta) you find the inverse of tan. Tan is defined as . So all you do is take the inverse which is .
Plug values in
Keep, change, flip
Multiply:
Multiply both sides by sqrt(7)
This is the value of cot(theta)
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Its 400-300 ,because they want to compare not total which it is 100
Hope it helped!
Answer:
CQ=4 cm, BQ=8 cm
Step-by-step explanation:
In given triangle ABC draw the line MD parallel to the AQ.
1. Consider triangle AMD. In this triangle PQ║MD (build) and CP=PM (P is midpoint of CM). Then by the triangle midline theorem, line PQ is midline of triangle AMD and CQ=QD.
2. Consider triangle BAQ. In this triangle AQ║MD and AM=MB. Then by the triangle midline theorem, line MD is midline of triangle BAQ and BD=QD.
Hence, CQ=QD=BD. Since BC=12 cm and
BC=BQ+QD+BD,
then
Note that
BQ=BD+QD=4+4=8 cm.