Question

tan 450+tan 30°
1-tan 450 x tan 300
=2+√3​

Answer 1

Step-by-step explanation:

RTP :- tan 45° + tan 30°  × 1 - ( tan 45° x tan 30°)  = 2 / 3

WKT,

Tan 45° = 1

Tan 30° = 1 /root 3

Now,

Tan 45° + Tan 30°  × 1 - ( Tan 45° x Tan 30° )  

= 1 + 1 / root 3 × 1 - ( 1 × 1 / root 3 )

= root 3 + 1 / root 3 × 1 - ( 1 / root 3)

= root 3 + 1 / root 3 × root 3 - 1 / root 3

= 3 - root 3 + root 3 - 1 / 3

= 3 - 1 / 3

= 2 / 3

Hence proved