3 years ago

say true or false with explanation if both sin teta and cos tetanus are negative then teta is thrid quadrant angle.

1 answer:

DIA [1.3K]3 years ago

7 0

Answer:

true

Step-by-step explanation:

hope it helps .

all the best

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Recall the double angle identity:

$\sin2\theta=2\sin\theta\cos\theta$

With $\theta$ measuring between 0º and 90º, we know $\cos\theta>0$ . So from the Pythagorean identity, we get

$\sin^2\theta+\cos^2\theta=1\implies\cos\theta=\sqrt{1-\sin^2\theta}=\dfrac{\sqrt{21}}5$

Then

$\sin2\theta=2\dfrac25\dfrac{\sqrt{21}}5=\dfrac{4\sqrt{21}}{25}$

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kramer

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2 years ago

say true or false with explanation if both sin teta and cos tetanus are negative then teta is thrid quadrant angle.​