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Proving Trigonometric Identities by kiokosoft is a document available to read on EtoBox.
What is Proving Trigonometric Identities about?
1. The document proves several trigonometric identities through algebraic manipulation of their left-hand sides (LHS) and right-hand sides (RHS). It first shows that 1+cotθ1+tanθ=cotθ by expanding the fractions and combining like terms. 2. It then demonstrates that cos2θ−sin2θ=1−2sin2θ by substituting cos2θ+sin2θ=1 and isolating cos2θ. 3. Finally, it proves that 1−sinx1+sinx=secx−tanx by factorizing the LHS, using the Pythagorean identity, and rearranging terms to match the RHS.
- Author
- kiokosoft
- Language
- EN