5. Given: `a = 3 cm` `b = 4 cm` Find: `c, sin θ, con θ, tan θ, θ`
5. Given: a = 3 cm b = 4 cm Find: c, sin θ, con θ, tan θ, θ
Hint
`r^2 = x^2 +y^2`
Answer
`c = 5 cm` `sinθ = 0.6` `cosθ = 0.8` `tanθ = 0.75` `θ = 37°`
Show Steps
`c^2 = a^2 +b^2` `=> c = sqrt(a^2 +b^2)` `=> c = sqrt(3^2 + 4^2)` `=> color(red)(c = 5 cm)` `sinθ = a/c = 3/5 =0.6` `cosθ = b/c = 4/5 = 0.8` `tanθ = a/c = 3/4 = 0.75` `θ = sin^(-1)(0.6) = 37°` or `θ = cos^(-1)(0.8) = 37°` or `θ = tan^(-1)(0.75) = 37°`