The values of the given trig functions in terms of sinθ and/or cosθ are:
sinθ = <u>tanθ.cosθ</u>
cosθ = <u>sinθ/tanθ</u>
secθ = <u>1/cosθ</u>
cscθ = <u>1/sinθ</u>
tanθ = <u>sinθ/cosθ</u>
cotθ = <u>cosθ/sinθ</u>
<h3>Trigonometric functions </h3>
From the question, we are to determine the values of the given trig functions in terms of sinθ and/or cosθ
NOTE: tanθ = sinθ / cosθ
∴ sinθ = tanθ.cosθ
From above, we can write that
cosθ = sinθ/tanθ
Secant is the <u>inverse</u> of cosine
∴ secθ = 1/cosθ
Cosecant is the <u>inverse</u> of sine
∴ cscθ = 1/sinθ
tanθ = sinθ/cosθ
Cotangent is the <u>inverse</u> 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 = <u>tanθ.cosθ</u>
cosθ = <u>sinθ/tanθ</u>
secθ = <u>1/cosθ</u>
cscθ = <u>1/sinθ</u>
tanθ = <u>sinθ/cosθ</u>
cotθ = <u>cosθ/sinθ</u>
Learn more on Trigonometric functions here: brainly.com/question/10316891
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x² - 10x + 21
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the 3rd one
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B.
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