Use the given figure to find : (i) tan θ° (ii) θ° (iii) sin2 θ° - cos2 θ° (iv) Use sin θ° to find the value of x.

(i) tan θ° tan θ° = = Hence, tan θ° = 1. (ii) θ° ⇒ tan θ° = tan 45° So, θ° = 45° Hence, θ° = 45°. (iii) sin2 θ° - cos2 θ° sin θ° = = cos θ° = = Now, sin2 θ° - cos2 θ° Hence, sin2 θ° - cos2 θ° = 0. (iv) Use sin θ° to find the value of x. sin θ° = sin θ° = sin 45° = So, x = = 7.07 Hence, x = = 7.07.