Trigonometric identity:

**1 + tan**^{2}(θ) = sec^{2}(θ)This trigonometric identity is directly derived from sin

^{2}(θ) + cos

^{2}(θ) = 1. Consider the trigonometric identity sin

^{2}(θ) + cos

^{2}(θ) = 1. On dividing this equation by cos

^{2}(θ), we get the following equation:

In this equation:

- "cos
^{2}(θ) / cos^{2}(θ)" is equal to 1 - "sin
^{2}(θ) / cos^{2}(θ)" is equal to tan^{2}(θ) - "1 / cos
^{2}(θ)" is equal to sec^{2}(θ)

tan... which is the required identity^{2}(θ) + 1 = sec^{2}(θ)

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