Answer:
all options are correct.
Step-by-step explanation:
The correct options among all the options are:
- <em>Ancient mathematicians used trigonometry to find angles of triangles.</em>
Trigonometry is used to find the size of a missing side or angle in a right- angled triangle using the sine, cosine or tangent ratios.
- <em>Ancient mathematicians used trigonometry to track the position of the sun.</em>
It is also used in oceanography in calculating the height of tides in oceans.
- <em>Tangent was the first trigonometric relationship used by mathematicians.</em>
The three main functions in trigonometry are Sine, Cosine and Tangent.The functions sine, cosine and tangent of an angle are sometimes referred to as the primary or basic trigonometric functions.
- <em>Cosine was the first trigonometric relationship used by mathematicians.
</em>
- <em>Sine was the first trigonometric relationship used by mathematicians.</em>
4x^2 + 9xy - y^2 = 8
8x + 9xf'(x) + 9y - 2yf'(x) = 0
f'(x) (2y - 9x) = 8x + 9y
f'(x) = (8x + 9y)/(2y - 9x)
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Answer:
Value of x = -7
Step-by-step explanation:
Given:
First angle = 83°
Second angle = 24°
Third angle = (38 - 5x)°
Find:
Value of x
Computation:
We know that sum of all interior angle in triangle is 180°
So,
83 + 24 + 38 - 5x = 180
145 - 5x = 180
-5x = 35
x = -7
Value of x = -7