Question

(1+cotA-cosecA) (1+tanA-secA)=2​

Answer 1

Answer:

$(1 + cosa - csca) \times (1 + \tan a - sec \: a)$

$1 + \cos \div sin(a) - 1 \ \sin(a) ) \times (1 + \sin(a) \div \ \cos(a) - 1 \ \cos(a))$

Answer 2

$(1 + cota - coseca)(1 + tana + cota) \\ \\ = ( \frac{sina + cosa - 1}{sina} )( \frac{cosa + sina + 1}{cosa} ) \\ \\ = \frac{( {sina + cosa)}^{2} - 1 }{sinacosa} \\ \\ = \frac{2sinacosa}{sinacosa} \\ \\ = 2$