Answer:
[tex]\theta = tan^{-1}(\frac{7}{4})[/tex]
is the required expression.
Step-by-step explanation:
Given:
Δ PQR is a Right Angle Triangle at ∠ Q =90°
PQ = 7cm
QR =4 cm
Let m∠ R = θ
To Find:
m∠ R = θ = ?
Solution:
In a Right Angle Triangle Δ PQR we have Tangent Identity as
[tex]\tan R= \frac{\textrm{side opposite to angle R}}{\textrm{side adjacent to angle R}}\\\\\tan \theta=\frac{PQ}{QR}\\\\[/tex]
substituting the given values we get the required expression
[tex]\tan \theta=\frac{7}{4}\\\\\therefore \theta = tan^{-1}(\frac{7}{4})[/tex]
Which is the required Expression
