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Whitepunk [10]
3 years ago
10

Fraction is equivalent to 42/56?

Mathematics
1 answer:
mezya [45]3 years ago
7 0

Answer:

it is 6/7, you can simplify that fraction by dividing with 7

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Verify the trig identity: tan^2 theta + cot^2 theta / csc^2 theta = sec^2 theta
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Answer:

See proof below

Step-by-step explanation:

In trigonometry identity

tan^2 theta = sin^2 theta /cos^2 theta

cot^2 theta = cos^2 theta/sin^2 theta

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Substitute into the expression

(sin^2 theta /cos^2 theta )+ (cos^2 theta/sin^2 theta)/1/sin^2 theta

= [sin^4theta + cos^4theta/cos^2 theta sin^2 theta]÷(1/sin^2 theta)

= 1/cos^2 theta sin^2 theta÷(1/sin^2 theta)

= 1/cos^2 theta sin^2 theta * sin^2 theta/1

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= sec^2theta (Proved!)

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Step-by-step explanation:


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