Answer :
Answer:
Use sine rule.
Explanation:
[tex]\begin{tabular}{|c|c|c|c|} \cline{1-2} \multicolumn{2}{|c|}{\bf {SOH CAH TOA Formula's}} \\ \cline{1-2} \cline{1-2} \rm{sine rule} & sin(\theta) \sf = opposite/hypotenuse \\ \cline{1-2} \rm{cosine rule} & cos(\theta) \sf = adjacent/hypotenuse \\\cline{1-2} \rm{tan rule} & tan(\theta) \sf = opposite/adjacent \\ \cline{1-2}\end{tabular}[/tex]
If opposite side of an angle and hypotenuse is given.
Use sine rule: sin(θ) = opposite/hypotenuse
For example:
Given that opposite of the angle is 10 cm and hypotenuse is 20 cm.
To find the angle:
sin(θ) = 10/20
θ = sin⁻¹(10/20)
θ = sin⁻¹(1/2)
θ = 30°
Several ways
You can use sin directly
As
- sinØ=Opposite/Hypotenuse
Then you can find Ø from it
Otherwise
You may find adjacent using Pythagorean theorem
Then you can use cos
- cosØ=Adjacent/Hypotenuse
You may use tan even
- tanØ=Opposite/Adjacent