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Which Pythagorean identity is correct?
sine squared (theta) + 1 = cosecant squared (theta)
tangent squared (theta) + 1 = secant squared (theta)
1 minus cotangent squared (theta) = cosecant squared (theta)
1 minus cosine squared (theta) = tangent squared (theta)

Respuesta :

amna04352

Answer:

Option 2:

tangent squared (theta) + 1 = secant squared (theta)

Step-by-step explanation:

1 + tan²X

1 + sin²X/cos²X

(cos²X + sin²X)/cos²X

1/cos²X

sec²X

adioabiola

The Pythagorean identity which is correct is tangent squared (theta) + 1 = secant squared (theta)

How to solve Pythagorean identity

tangent squared (theta) + 1 = secant squared (theta)

  • Also written when theta is x

1 + tan²x

tan²x = sin²x/cos²x

So,

1 + tan²x

= 1 + sin²x/cos²x

  • find the LCM

(cos²x + sin²x) / cos²x

= 1 / cos²x

= sec²x

Therefore, tangent squared (theta) + 1 = secant squared (theta).

Learn more about Pythagorean identity:

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