The value of the trigonometric function secθ is 3/4.
Given the value of the trigonometric function sinθ is 4/5
we know that sinθ = Perpendicular (P)/Hypotenuse(h)
Therefore, sinθ = 4/5;
perpendicular (p) = 4 and
hypotenuse (h) = 5
In trigonometry, the secant function is a periodic function. The ratio of the hypotenuse's length to the base's length in a right-angled triangle is known as the secant function, or sec function. It is also written as sec x = 1 / cos x since it is the reciprocal of the cosine function.
secθ = base(b) / perpendicular(p)
Therefore, Base (b) = √(h² ₋ p²)
= √(5² ₋ 4²)
= √(25 ₋ 16)
= √9
= 3
Now, therefore secθ = base(b) / perpendicular(p)
= 3/4
Hence we get the value of secθ as 3/4.
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