Grade 1210 grade maths
If tan θ=15/8, find the values of all T-ratios of θ.
If tan θ=15/8, find the values of all T-ratios of θ.
1 Answer
Harshit Singh
Dear Student
Given function: tan θ=15/8
We know that tan θ = BC/AB = perpendicular/base
= 15/8
By Pythagoras Theorem:
AC^2 = AB^2 + BC^2
= 64k^2 + 225k^2
= 289k^2
AC = 17k
Find other T-rations using their definitions:
Sin𝜃= BC/AC = 15/17
cos𝜃= AB/AC = 8/17
cosec 𝜃= 1/sin𝜃= 17/15
sec𝜃= 1/cos𝜃= 17/8
cot𝜃= 1/tan𝜃= 8/15
Thanks
Given function: tan θ=15/8
We know that tan θ = BC/AB = perpendicular/base
= 15/8
By Pythagoras Theorem:
AC^2 = AB^2 + BC^2
= 64k^2 + 225k^2
= 289k^2
AC = 17k
Find other T-rations using their definitions:
Sin𝜃= BC/AC = 15/17
cos𝜃= AB/AC = 8/17
cosec 𝜃= 1/sin𝜃= 17/15
sec𝜃= 1/cos𝜃= 17/8
cot𝜃= 1/tan𝜃= 8/15
Thanks
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