Mathematics
Using tables, find the value of 2 sin θ - cos θ when
(i) θ = 35°
(ii) tan θ = .2679.
Answer
(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
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