Proving this identity: sin 2 ⁡ θ cos 2 ⁡ θ + cos 2 ⁡ θ sin 2 ⁡ θ = sec 2 ⁡ θ csc 2 ⁡ θ − 2

Question

Proving this identity:                     sin        2            ⁡      θ                      cos        2            ⁡      θ        +                    cos        2            ⁡      θ                      sin        2            ⁡      θ        =      sec    2    ⁡  θ      csc    2    ⁡  θ  −  2

enfeinadag0 · Accepted Answer

sin              2                        ⁡            θ                                              cos              2                        ⁡            θ                          +                                            cos              2                        ⁡            θ                                              sin              2                        ⁡            θ                                              =                  tan          2                ⁡        θ        +                  cot          2                ⁡        θ                                          =                  sec          2                ⁡        θ        −        1        +                  csc          2                ⁡        θ        −        1                                          =                  1                                    cos              2                        ⁡            θ                          +                  1                                    sin              2                        ⁡            θ                          −        2                                          =                                            sin              2                        ⁡            θ            +                          cos              2                        ⁡            θ                                              sin              2                        ⁡            θ                          cos              2                        ⁡            θ                          −        2                                          =                  sec          2                ⁡        θ                  csc          2                ⁡        θ        −        2

Proving this identity: sin 2 </msup> ⁡<!--

Answered question

Answer & Explanation

New Questions in Trigonometry