Answer:
A) sin θ = 3/5
B) tan θ = 3/4
C) csc θ = 5/3
D) sec θ = 5/4
E) cot θ = 4/3
Step-by-step explanation:
We are told that cos θ = 4/5
That θ is the acute angle of a right angle triangle.
To find the remaining trigonometric functions for angle θ, we need to find the 3rd side of the triangle.
Now, the identity cos θ means adjacent/hypotenuse.
Thus, adjacent side = 4
Hypotenuse = 5
Using pythagoras theorem, we can find the third side which is called opposite;
Opposite = √(5² - 4²)
Opposite = √(25 - 16)
Opposite = √9
Opposite = 3
A) sin θ
Trigonometric ratio for sin θ is opposite/hypotenuse. Thus;
sin θ = 3/5
B) tan θ
Trigonometric ratio for tan θ is opposite/adjacent. Thus;
tan θ = 3/4
C) csc θ
Trigonometric ratio for csc θ is 1/sin θ. Thus;
csc θ = 1/(3/5)
csc θ = 5/3
D) sec θ
Trigonometric ratio for sec θ is 1/cos θ. Thus;
sec θ = 1/(4/5)
sec θ = 5/4
E) cot θ
Trigonometric ratio for cot θ is 1/tan θ. Thus;
cot θ = 1/(3/4)
cot θ = 4/3
Steps:
32yd. * 15yd. = 480 sq. yd
96 sq. yd. + 480 sq. yd = 576
Description:
We know that the prism is 13 yards long with a base of 12 yards and height of 8 yards. Meaning.
H = height
B = Base
P= Prism
The area of the prism each is 12yd * 8yd/2 = 48. So the two triangle combined area will be 96 yd. Meaning we get the number 32yd times it by 8 divide by 2 = the answer will equal as 48yd .The perimeter of both identical, isosceles triangles triangles are 10yd. + 10yd. + 12yd. = 32yd. and the length of those sides is 15yd. So the last step is to 32yd. * 15yd. = 480 sq. yd. Now you combine the two areas yields the total
. 96 sq. yd. + 480 sq. yd = 576 sq. yd. total Answer will come as 576. Meanign the correct answer for this question is 576 yd.
Answer: 576 sq. yd. total
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<em><u>Hope this helps.</u></em>
Answer:
X= 24+7/8 | Y= 24-8x
<u>Steps for answers:</u>
<u>For X:</u>
1. Add y to both sides.
-8x=24+y
2. Divide both sides by -8.
x=-24+y/8
-----------------
<u>For Y:</u>
1. Add 8x to both sides.
-y=24+8x
2. Multiply both sides by -1.
y=-24-8x
<u>Done by NeighborhoodDealer :</u>
