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Advocard [28]
3 years ago
15

Need some help with trigonometry. Last question answered by bots.

Mathematics
1 answer:
Montano1993 [528]3 years ago
8 0

Answer:

See below for answers and explanations

Step-by-step explanation:

<u>First, find the missing side using the Pythagorean Theorem:</u>

c²=a²+b²

65²=a²+16²

4225=a²+256

3969=a²

63=a

<u>Therefore:</u>

sinα = opposite/hypotenuse = 63/65

cosα = adjacent/hypotenuse = 16/65

tanα = opposite/adjacent = 63/16

sinβ = opposite/hypotenuse = 16/65

cosβ = adjacent/hypotenuse = 63/65

tanβ = opposite/adjacent = 16/63

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What are the solutions of the equation x4 – 9x2 + 8 = 0? Use u substitution to solve.
rosijanka [135]

Answer:

Option (2)

Step-by-step explanation:

Given equation is,

x⁴- 9x² + 8 = 0

Let x² = t

By substituting the value of x²= t in the equation,

t² - 9t + 8 = 0

t² - 8t - t + 8 = 0

t(t - 8) - 1(t - 8) = 0

(t - 1)(t - 8) = 0

(t - 1) = 0 ⇒ t = 1

(t - 8) = 0 ⇒ t = 8

Since, t = x²

x² = 1 ⇒ x = ±1

x² = 8 ⇒ x = ±2√2

Therefore, Option (2) will be the correct option.

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--------------

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