In the triangle , Angle A is 51.1 degrees, B is 54.5 degrees , C is 74.4 degrees.
<h3>What is a Triangle ?</h3>
A triangle is defined as a polygon with three sides , three angles and three vertices.
Using the Law of Cosine to solve the Triangle and to determine the value of all the angles
c² = a²+ b² -2abCosC
a = 42 , b=44 , c = 52
52² = 42² + 44² -2 * 42 * 44 cos C
2704 = 1764 + 1936 -3696 cos C
cos C = 0.269
C =74.4 ° (degrees)
Similarly calculating for A and B will give
Angle A is 51.1 degrees
Angle B is 54.5 degrees
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The correct question is
<span>Given cos theta=4/9 and csc theta < 0 find sin theta and tan theta
</span>
we know that
csc theta=1/sin theta
if csc theta < 0
then
sin theta < 0
we have that
<span>cos theta=4/9
we know that
sin</span>² theta+cos² theta=1
so
sin² theta=1-cos² theta-----> 1-(4/9)²----> 1-(16/81)----> 65/81
sin theta=-√(65/81)---->-√65/9
the answer Part a) is
sin theta=-√65/9
Part b) find tan theta
tan theta=sin theta/cos theta
tan theta=(-√65/9)/(4/9)-----> tan theta=-√65/4
the answer part b) is
tan theta=-√65/4
Answer:
The two quantities are not proportional to each other because a constant describing the proportion does not exist
Step-by-step explanation:
It's honestly just random numbers. None of them are proportional to the other side of the table.
Let me know if you need more help with the topic :)
Answer: 243, 729
<u>Step-by-step explanation:</u>
1, 3, 9, 27, 81 is a geometric sequence where r = 3
a₁ = 1
a₂ = 1 x 3 = 3
a₃ = 3 x 3 = 9
a₄ = 9 x 3 = 27
a₅ = 27 x 3 = 81
To find the next two terms, multiply the previous term by 3:
a₆ = 81 x 3 = 243
a₇ = 243 x 3 = 729
