2 years ago

Simplify csc(-x) /1+tan^2(x)

Mathematics

1 answer:

ruslelena [56]2 years ago

5 0

$\frac{-x}{1+\tan^{2}(x)}=-\frac{\cos(x)^{2}}{\sin(x)}.$

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Autumn measures the angle of elevation from the ground to the top of an 18-foot tall tree as 27°. To the nearest tenth of a foot

leonid [27]

Answer: she is 35.3 feet from the tree.

Step-by-step explanation:

Assuming her line of sight to the top of the tree is a straight line, then a right angle triangle is formed. The height of the tree, h represents the opposite side of the right angle triangle. Her distance, h from the tree represents the adjacent side of the right angle triangle. To determine h, we would apply the tangent trigonometric ratio.

Tan θ = opposite side/adjacent side. Therefore,

Tan 27 = 18/h

h = 18/tan27 = 18/0.51

h = 35.3 feet

7 0

3 years ago

Which of the following is equivalent to (a + b) (a/b)

cestrela7 [59]

Answer:

$\frac{a^{2} + ab }{b}$