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3 years ago

Help me please thanks so muchhhh

Mathematics

1 answer:

Leviafan [203]3 years ago

6 0

Answer: 65 degrees

Step-by-step explanation:

If you learned angles, you would know that m∠2 and m∠6 are corresponding angles since it was already given that a║b.

Reasoning: m∠2=m∠6; if m∠2=65, then m∠6=65 as well.

Have a nice day! :D

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Hi there! Use the following identities below to help with your problem.

$\large \boxed{sin \theta = tan \theta cos \theta} \\ \large \boxed{tan^{2} \theta + 1 = {sec}^{2} \theta}$

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$\large{ {4}^{2} + 1 = {sec}^{2} \theta } \\ \large{16 + 1 = {sec}^{2} \theta } \\ \large{ {sec}^{2} \theta = 17}$

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And thus,

$\large{ {cos}^{2} \theta = \frac{1}{17}} \\ \large{cos \theta = \frac{ \sqrt{1} }{ \sqrt{17} } } \\ \large{cos \theta = \frac{1}{ \sqrt{17} } \longrightarrow \frac{ \sqrt{17} }{17} }$

Since the given domain is 180° < θ < 360°. Thus, the cosθ < 0.

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Then use the Identity of sinθ = tanθcosθ to find the sinθ.

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Answer

sinθ = -4sqrt(17)/17 or A choice.

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