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murzikaleks [220]
2 years ago
9

Consider an angle with a measure of θ=225∘.

Mathematics
1 answer:
wel2 years ago
8 0

Answer:

cos 225° = -\frac{\sqrt{2} }{2}

sin 225° = -\frac{\sqrt{2} }{2}

tan 225° = 1

Step-by-step explanation:

I cannot sketch a diagram, but a 225° angle is a 3rd quadrant angle and the reference angle is 45°   (225 - 180 = 45)

cos and sin are negative in the 3rd quadrant and the tan is positive

cos 225° = - cos 45° = -\frac{\sqrt{2} }{2}

sin 225° = -sin 45° = -\frac{\sqrt{2} }{2}

tan 225° = tan 45° = 1

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