Using tables, find the value of 2 sin θ - cos θ when

(i) θ = 35°

(ii) tan θ = .2679.

(i) Putting θ = 35° in 2 sin θ - cos θ,

⇒ 2 sin 35° - cos 35°
⇒ 2 × .5736 - .8192
⇒ 1.1472 - .8192
⇒ .3280

Hence, the value of 2 sin θ - cos θ = .3280

(ii) Given,

tan θ = .2679
tan θ = tan 15°
θ = 15°.

Putting θ = 15° in 2 sin θ - cos θ,

⇒ 2 sin 15° - cos 15°
⇒ 2 × .2588 - .9659
⇒ .5176 - .9659
⇒ -.4483

Hence, the value of 2 sin θ - cos θ = -0.4483