The length of the base of a right triangle is twice the height. If the height is ten meters, find the area of the right triangle
1 answer:
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Answer:
- False
- True
-- False
-- True
-- True
Step-by-step explanation:
The points are
,
,
,
and
---- missing from the question
Given
Required
Determine if each of the points would be on
To do this, we simply substitute the value of x and of each point in .
(a)
In this case;
and
becomes
<em>The point </em><em> won't be on the graph because the corresponding value of y for </em>
<em> is </em>
<em></em>
(b)
In this case;
becomes
<em>The point </em><em> would be on the graph because the corresponding value of y for </em>
is
(c)
In this case:
becomes
<em>The point </em><em> wouldn't be on the graph because the corresponding value of y for </em>
<em> is </em>
<em></em>
(d)
In this case;
becomes
<em>The point </em><em> would be on the graph because the corresponding value of y for </em>
is
(e)
In this case:
;
becomes
<em>The point </em> <em> would be on the graph because the corresponding value of y for </em>
is
Answer:
- sin = -√3/2
- cos = -1/2
- tan = √3
- sec = -2
- csc = (-2/3)√3
- cot = (√3)/3
Step-by-step explanation:
See the attached picture for a drawing of the angle and its terminal point coordinates. Those are (cos(4π/3), sin(4π/3)), so we have the following trig function values:
sin(4π/3) = -√3/2
cos(4π/3) = -1/2
tan(4π/3) = sin/cos = √3
sec(4π/3) = 1/cos = -2
csc(4π/3) = 1/sin = -(2√3)/3
cot(4π/3) = 1/tan = (√3)/3
_____
<em>Additional comment</em>
It helps to know that 1/√a = (√a)/a. This lets you write the ratios with a rational denominator in each case.
