Question

simplify (sin0+cosec0)^2+(cos0+sec0)^2-(tan0+cot0)​

Answer 1

Answer:

5

[assuming that the question is (sin0+cosec0)^2 + (cos0+sec0)^2 - (tan0+cot0)​^2 and that 0 is theta]

Step-by-step explanation:

(sin0+cosec0)^2 = sin^2 0 + cosec^2 0 + 2sin0cosec0

                           = sin^2 0 + cosec^2 0 + 2

(cos0+sec0)^2 = cos^2 0 + sec^2 0 + 2cos0sec0

                        = cos^2 0 + sec^2 0 + 2

(tan0+cot0)^2 = tan^2 0 + cot^2 0 + 2tan0cot0

                       = tan^2 0 + cot^2 0 + 2

(sin0+cosec0)^2 + (cos0+sec0)^2 - (tan0+cot0)​^2

= sin^2 0 + cosec^2 0 + 2 + cos^2 0 + sec^2 0 + 2 - tan^2 0 - cot^2 0 - 2

= sin^2 0 + cos^2 0 + cosec^2 0  - cot^2 0 + sec^2 0 - tan^2 0 + 2 + 2 - 2

= 1 + 1 + 1 + 2 + 2 -2

= 5