Question 44 Answer and Explanation _ACT June 2022 Form E26 Math Section

Question 44 Answer and Explanation _ACT June 2022 Form E26 Math Section

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44. For all θ such that cos θ ≠ 0 and sin θ ≠ 0, which of the following expressions is equal to $\frac{tan\theta}{sec\theta}$ ?

F. $cos\theta$

G. $sin\theta$

H. $\frac{1}{sin\theta}$

J. $\frac{cos\theta}{{sin}^{2}\theta}$

K. $\frac{sin\theta}{{cos}^{2}\theta}$

Answer and Explanation

Your Answer is

Correct Answer is G

Explanation

tanθ/(1/cosθ)=tanθ*cosθ=sinθ