reciprocal identity secθ=
1/cosθ
The reciprocal identity for secant can be defined as:
secθ = 1/cosθ
This means that the value of secant for an angle θ is equal to the reciprocal of the cosine of that angle θ.
Another way to think about this is that secant represents the ratio of the hypotenuse to the adjacent side in a right triangle where one angle is θ.
Recall that the cosine function represents the ratio of the adjacent side to the hypotenuse in a right triangle where one angle is θ. Therefore, the reciprocal of the cosine function (1/cosθ) gives the ratio of the hypotenuse to the adjacent side, which is what secant measures.
In summary, the reciprocal identity for secant is secθ = 1/cosθ.
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