O. Find the domain and range of each of the three restricted functions.
1 answer:
The domain and range of the functions sin x, cos x, and tan x will be (-∞, ∞) and [-1, 1], (-∞, ∞) and [-1, 1], and R - (2n + 1)π/2 and (-∞, ∞) respectively.
<h3>What are domain and range?</h3>The domain means all the possible values of x and the range means all the possible values of y.
The three restricted functions are given below.
f(x) = sin (x)
f(x) = cos (x)
f(x) = tan (x)
Then the domain of the three restricted functions will be
The domain of sin x will be (-∞, ∞).
The domain of cos x will be (-∞, ∞).
The domain of tan x will be R - (2n + 1)π/2.
Then the range of the three restricted functions will be
The range of sin x will be [-1, 1].
The range of cos x will be [-1, 1].
The range of tan x will be (-∞, ∞).
The graph is given below.
More about the domain and range link is given below.
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x = 45°
Solution:
Given data:
Measure of larger arc = 152°
Measure of smaller arc = 62°
<em>If a tangent and a secant intersect at the exterior of a circle then the measure of angle formed is one-half the positive difference of the measures of the intercepted arcs.</em>
⇒ x = 45°
The value of x is 45°.
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