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1. Trig Function
2. Coordinate value (x, y)
3. Value in terms of sinθ and/or cosθ

sinθ = _________________

cosθ = _________________

secθ = _________________

cscθ = _________________

tanθ = _________________

cotθ = _________________

Respuesta :

The values of the given trig functions in terms of sinθ and/or cosθ are:

sinθ = tanθ.cosθ

cosθ = sinθ/tanθ

secθ = 1/cosθ

cscθ = 1/sinθ

tanθ = sinθ/cosθ

cotθ = cosθ/sinθ

Trigonometric functions

From the question, we are to determine the values of the given trig functions in terms of sinθ and/or cosθ

  • sinθ

NOTE: tanθ = sinθ / cosθ

∴ sinθ = tanθ.cosθ

  • cosθ

From above, we can write that

cosθ = sinθ/tanθ

  • secθ

Secant is the inverse of cosine

∴ secθ = 1/cosθ

  • cscθ (cosecθ)

Cosecant is the inverse of sine

∴ cscθ = 1/sinθ

  • tanθ

tanθ = sinθ/cosθ

  • cotθ

Cotangent is the inverse of tangent
∴ cotθ = 1/tanθ

But, tanθ = sinθ/cosθ

∴ cotθ = cosθ/sinθ

Hence, the values of the given trig functions in terms of sinθ and/or cosθ are:

sinθ = tanθ.cosθ

cosθ = sinθ/tanθ

secθ = 1/cosθ

cscθ = 1/sinθ

tanθ = sinθ/cosθ

cotθ = cosθ/sinθ

Learn more on Trigonometric functions here: https://brainly.com/question/10316891

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