Question

tan + sec - 1 / tan - sec + 1 = 1 + sin / cos by theorem of equal ratio

Answer 1

hello @ classy46

the answer is :

where 1-over any quantity is the symbol for its reciprocal; Lesson 5 of Algebra. tan θ, = y/r x/r, = sin θ cos θ . cot θ, = 1 tan θ, = cos θ sin θ . ... b), 1 + tan2θ, = sec2θ. c), 1 + cot2θ, = csc 2θ. Proof 1. According to the Pythagorean theorem,. x2 + y2 = r2. . The three Pythagorean identities are thus equivalent to one another.

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