Answer:
AB = 4 cm
Step-by-step explanation:
The tangent and secant are drawn from an external point to the circle.
Then the square of the measure of the tangent is equal to the product of the external part of the secant and the entire secant.
let AB = x, then
x(x + 5) = 6²
x² + 5x = 36 ( subtract 36 from both sides )
x² + 5x - 36 = 0 ← in standard form
(x + 9)(x - 4) = 0 ← in factored form
Equate each factor to zero and solve for x
x + 9 = 0 ⇒ x = - 9
x - 4 = 0 ⇒ x = 4
However x > 0 ⇒ x = 4 ⇒ b = 4 CM
Based on the knowledge of <em>trigonometric</em> expressions and properties of <em>trigonometric</em> functions, the value of the <em>sine</em> function is equal to - √731 / 30.
<h3>How to find the value of a trigonometric function</h3>
Herein we must make use of <em>trigonometric</em> expressions and properties of <em>trigonometric</em> functions to find the right value. According to trigonometry, both cosine and sine are <em>negative</em> in the <em>third</em> quadrant. Thus, by using the <em>fundamental trigonometric</em> expression (sin² α + cos² α = 1) and substituting all known terms we find that:
sin θ ≈ - √731 / 30
Based on the knowledge of <em>trigonometric</em> expressions and properties of <em>trigonometric</em> functions, the value of the <em>sine</em> function is equal to - √731 / 30.
To learn more on trigonometric functions: brainly.com/question/6904750
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Answer:
Step-by-step explanation:
Gradient
Equation of a line
- Sub one set of points into equation
Answer:
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