Answer:
Step-by-step explanation:
Pythagorean theorem is given as
a² +b² = c²
a² = c² - b²
a² = 252 – 202
a² = 625 – 400
a² = 225
a = √225
a = 15
Length of the missing side is 15
To find the value of the six trigonometric function
1) sin x = a/c
= 15/25
sin x = 0.6, x = sin⁻¹ 0.6 = 36.86
2) cos x = b/c
= 20/25
cos x = 0.8, x = cos⁻¹ 0.8 = 36.86
3) tan x = a/b
= 15/20
tan x = 0.75, x = tan⁻¹ 0.75 = 36.86
∴ Θ = 36.86°
4) csc x = c/a
= 25/15
csc x = 1.67 x = csc⁻¹ 1.67
5) sec x = c/b
= 25/20
sec x = 1.25 x = sec⁻¹ 1.25
6) cot x = b/a
= 20/15
cot x = 1.33 x = cot⁻¹ 1.33
