Question

Use the given figure to find:
(i) tan θ°
(ii)  θ°
(iii) sin²θ° - cos²θ°
(iv) Use sin θ° to find the value of x.

Answer 1

(i) tan θ° = `(5)/(5) = 1`

(ii) tan θ° = 1
tan θ° = tan 45°
θ° = 45°

(iii) sin²θ° – cos²θ° = sin²45° – cos² 45°

= `(1/sqrt2)^2 – (1/sqrt2)^2`

= 0

(iv) sinθ° = `(5)/(x)`

sin 45° = `(5)/(x)`

x = `(5)/(sin45°)`

x = `(5)/(1/sqrt2)`

x = 5`sqrt2`