Mathematics
bloodpassion66
15

Prove tan(θ / 2) = sin θ / (1 + cos θ) for θ in quadrant 1 .

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ElizbethLiddle208

we are asked to prove tan(θ / 2) = sin θ / (1 + cos θ). In this case, tan θ is equal to sin θ / cos θ. we can apply this to the equality. sin θ is equal to square root of (1-cos θ)/2 while cos θ is equal to square root of (1 + cos θ)/2. Hence, when we replace cos θ with square root of (1-cos θ)/2, we can prove already.

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