Hi there! Use the following identities below to help with your problem.
What we know is our tangent value. We are going to use the tan²θ+1 = sec²θ to find the value of cosθ. Substitute tanθ = 4 in the second identity.
As we know, sec²θ = 1/cos²θ.
And thus,
Since the given domain is 180° < θ < 360°. Thus, the cosθ < 0.
Then use the Identity of sinθ = tanθcosθ to find the sinθ.
Answer
- sinθ = -4sqrt(17)/17 or A choice.
Answer:
(4x + 2)( 2x - 10)
Step-by-step explanation:
Let x be the initial width, then the initial length is x+20.
<span>If Elise decreases this length by 8 feet, she will get the new length x+20-8=x+12.
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If Elise increases the width by 10 feet, <span>she will get the new width x+10.
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</span><span>The new perimeter will be x+12+x+12+x+10+x+10=4x+44=172, 4x=172-44, 4x=128, x=128÷4, x=32.
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</span><span>The initial width is 32 ft and the initial length is 32+20=52 ft.
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</span><span>The new width will be 32+10=42 ft, the new length will be 32+12=44 ft.
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Answer:
37.6 degrees
Step-by-step explanation:
tan x = 48.6 / 63.1 where x = angle of elevation
tan x = 0.770206
x = 37.6 degrees
