The values of sin 0° and tan 0° are 0.9511 and 3.0780 respectively. Therefore, option B is the correct answer.
Given that cos 0°=0.3090.
We need to find which of the following represents approximate values of sin 0° and tan 0°, for 0°<0<90°.
What are the 3 basic trigonometric identities?
The three main functions in trigonometry are Sine, Cosine and Tangent. That is our first trigonometric identity.
They are sin²θ+cos²θ=1
sec²θ=tan²θ+1
cosec²θ=cot²θ+1
Now, we use sinθ=√1-cos²θ
⇒sinθ=√1-(0.3090)²
⇒sinθ=0.95106≈0.9511
So, tanθ=sin θ/cos θ =0.9511/0.3090
=3.0779≈3.0780
The values of sin 0° and tan 0° are 0.9511 and 3.0780 respectively. Therefore, option B is the correct answer.
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