Question

tan alpha + tan beta Sports item export alpha + cos beta equal to 10 standar solve the question please ​

Answer 1

Answer:

Step-by-step explanation:

Tanα + Tanβ/ cotα + cotβ

=> Tanα + Tanβ / (1/Tanα + 1/Tanβ)

=> Tanα + Tanβ / (Tanβ + Tanα)/Tanα Tanβ

=> TanαTanβ * [Tanα + Tanβ] / (Tanβ + Tanα)

=> TanαTanβ

=> R.H.S

Hence  proved.

Answer 2

Step-by-step explanation:

$\frac{tan \alpha + tan \beta }{cot \alpha + cot \beta } = \frac{ \frac{sin \alpha }{cos \alpha } + \frac{sin \beta }{cos \beta } }{ \frac{cos \alpha }{sin \alpha } + \frac{cos \beta }{sin \beta } } \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = \frac{ \frac{sin \alpha \: cos \beta + cos \alpha \: sin \beta }{cos \alpha \: cos \beta } }{ \frac{cos \alpha \: sin \beta + sin \alpha \: cos \beta }{sin \alpha \: sin \beta } } \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = \frac{sin \alpha \: sin \beta }{cos \alpha \: cos \beta } \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = tan \alpha \: tan \beta \\ \\ hope \: it \: will \: help \: you.$