How to prove (cot⁡x-1)/(cot⁡x⁡+⁡1) ⁡= (cos⁡x⁡-⁡sin⁡x)/(cosx⁡+⁡sinx)? скачать в хорошем качестве

How to prove (cot⁡x-1)/(cot⁡x⁡+⁡1) ⁡= (cos⁡x⁡-⁡sin⁡x)/(cosx⁡+⁡sinx)?

Trigonometric Identities Part 2. Start solving the fractional form left-hand side members, (cotx-1)/(cotx+1), of the given equation until its right-hand side members, (cosx-sinx)/(cosx+sinx), are obtained. Both the numerator and the denominator have a cotx. Replace it by (cosx)/(sinx). The result is a complex fraction with cosx and sinx terms. Evaluate and simplify. Mharthy's Channel's Playlists: Differential Calculus    • Prove f'(x) = nx^(n-1), if f(x) = x^n and ...   Complex Numbers    • Prove:⁡⁡  (a⁡+⁡b⁡i)(c⁡+⁡d⁡i)⁡ = ⁡(ac⁡-⁡bd)...   Conversions    • Conversions   Logarithms, etc.    • Logarithms, etc.   Analytic Geometry    • Analytic Geometry   Plane Trigonometry Basics    • Plane Trigonometry Basics   Fractions    • Fractions   Systems of first degree/linear equations    • Systems of first degree/linear equations   Exponents and Radicals    • Exponents and Radicals   Quadratic Equation and Formula, etc.    • Quadratic Equation and Formula, etc.   Division of Polynomials, etc.    • Division of Polynomials, etc.   The Binomial Theorem    • The Binomial Theorem   Trigonometric Formulas    • Trigonometric Formulas   The Exact Values of sin & cos Functions of a Right Triangle    • The Exact Values of sin and cos Functions ...   Trigonometric Identities 1    • Trigonometric Identities 1   Trigonometric Identities 2    • Trigonometric Identities 2   Trigonometric Identities 3    • Trigonometric Identities 3