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Lapatulllka [165]
2 years ago
11

If sin θ=.55 what is the value of cos θ and explain why

Mathematics
1 answer:
MatroZZZ [7]2 years ago
3 0

Answer:

cos(\theta)=(+/-)0.84

Step-by-step explanation:

we know that

sin^2(\theta)+cos^2(\theta)=1 ----> by trigonometric identity

we have

sin(\theta)=0.55

substitute

(0.55)^2+cos^2(\theta)=1

cos^2(\theta)=1-(0.55)^2

cos^2(\theta)=0.6975

cos(\theta)=(+/-)\sqrt{0.6975}

cos(\theta)=(+/-)0.84

Remember that

If the sine of angle theta is positive, then the angle theta lie on the I Quadrant or II Quadrant

therefore

If the angle theta is on the I Quadrant the cosine  will be positive

If the angle theta is on the II Quadrant the cosine  will be negative

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