Trigonometry is the math of triangles and involves using trigonometric functions like sine, cosine, tangent, etc., to solve problems. The sine function's argument in a trigonometry equation must be dimensionless (typically an angle) for the equation to be meaningful. ;
cos 3 4 o = a 8 ; cos 3 4 o ≈ 0.829 a 8 = 0.829 → a ≈ 9.65 9.65 − 2.5 + 3.6 = 10.75 cos 1 1 o = 10.75 b ; cos 1 1 o ≈ 0.981 10.75 b = 0.981 → b ≈ 10.55 10.55 − 2.1 + 2.9 = 11.35 c 2 + 3. 8 2 = 11.3 5 2 c 2 = 11.3 5 2 − 3. 8 2 c ≈ 10.69
10.69 − 3.2 = 7.49 t an 4 2 o = 7.49 d ; t an 4 2 o ≈ 0.9 7.49 d = 0.9 → d ≈ 6.74 s in 3 7 o = e 6.74 ; s in 3 7 o ≈ 0.602 e 6.74 = 0.602 → e ≈ 11.2 11.2 + 4.3 = 15.5 s in 5 3 o = 15.5 f ; s in 5 3 o ≈ 0.8 15.5 f = 0.8 → f ≈ 12.4
12.4 − 2.2 = 10.2 g 2 = 10. 2 2 + 1. 7 2 → g ≈ 10.34 cos 2 1 o = h 10.34 ; cos 2 1 o ≈ 0.934 h 10.34 = 0.934 → h = 11.07 11.07 + 1.7 = 12.77 s in 7 1 o = 12.77 x ; s in 7 1 o ≈ 0.946 12.77 x = 0.946 → x ≈ 12.1 ( c m ) ← A n s w er
Trigonometry involves using sine, cosine, and tangent functions to relate angles to side lengths in triangles. Key concepts include the Law of Sines and Law of Cosines for finding unknown sides or angles. This knowledge is applicable in various fields such as physics and engineering.
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