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24. Which of the following trigonometric expressions is NOT equivalent?

answers are
sin Θ/cos Θ

(csc Θ cos Θ)/cos^2 Θ


sec Θ/sin Θ cos^2 Θ

1/cot Θ

Respuesta :

tan t /(sec t -cos t)= sin t/(cos t *(1/cos t -cos t))
=sin t/(cos t*(1-cos ²t)/cos t))
=sin t/sin² t=1/sin t [or=cosec t.]
adioabiola

The trigonometric expressions which are not equivalent are;

  • sin Θ/cos Θ
  • (csc Θ cos Θ)/cos^2 Θ
  • 1/cot Θ

For case 1: (sin Θ/cos Θ)

  • Sin Θ is only equal to Cos Θ if Θ = 45°

For Case 2: (csc Θ cos Θ)/cos^2 Θ

  • csc Θ cos Θ = (1/sin Θ) × cos Θ = Cot Θ

  • In essence, the trigonometric expressions are not equivalent.

For case 3: sec Θ/sin Θ cos^2 Θ

  • sec Θ/sin Θ = (1/cos Θ) ÷sin Θ

  • = 1/Cos Θ Sin Θ

For case 4:

  • 1 = cos²Θ + sin²Θ which is not equal to cot Θ.

Read more:

https://brainly.com/question/1143565

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