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11Alexandr11 [23.1K]
1 year ago
10

Use the given value and the trigonometric identities to find the remaining trigonometric functions of the angle.

Mathematics
1 answer:
elena-s [515]1 year ago
3 0

In this case, we'll have to carry out several steps to find the solution.

Step 01:

Data

sec θ = -4 / 3

cot θ > 0

Step 02:

sec θ = 1 / cos θ

-4/3 = 1 / cos θ

\begin{gathered} \frac{-4}{3}\text{ = }\frac{1}{\text{cos }\theta} \\ \cos \text{ }\theta\text{ = -}\frac{3}{4} \end{gathered}

cot θ = 1 / tan θ > 0

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f'(x) = 3x² - 1 = 0   ⇒   x = ±1/√3

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• (-1/√3, 1/√3)

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\left(f^{-1}\right)'(b) = \dfrac1{f'(a)}

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• 1/f'(1) = 1/2, if we restrict to (1/√3, ∞)

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