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lapo4ka [179]
3 years ago
15

According to the cofunction​ identities, cosine (90 degrees minus theta )equals​_______, cotangent (90 degrees minus theta )equa

ls​_______, and cosecant (90 degrees minus theta )equals​_______.
Social Studies
1 answer:
natita [175]3 years ago
8 0

Answer:

cosine (90-θ) = sine (θ)  

Cotangent (90 - θ) = tangent (θ)

Cosecant (90 - θ) = secant (θ)

Explanation:

The cofunction identities show the relationship between one function and its cofunction regarding complement angles.

Recall that the 3 pairs of cofunctions are:

  • Sine and cosine
  • Tangent and cotangent
  • Secant and cosecant

The cofunction identity states that the value of a trigonometric function of an angle equals the value of the cofunction of the complement angle.

<u>(Remember that complement angles are two angles whose sum is 90)</u>

So if we have an angle θ, then the complement is 90 - θ (since θ + (90 - θ) = θ +  90 - θ = 90)

Thus we have that:

  1. cos (90-θ) = sin (θ)  (sin is the cofunction of cos and θ is the complement of 90 - θ)
  2. Cotangent (90 - θ) = tangent (θ) (tangent is the cofunction of cotangent and θ is the complement of 90 - θ)
  3. Cosecant (90 - θ) = secant (θ) (secant is the cofunction of cosecant and θ is the complement of 90 - θ)

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