Question

Sin30'tan 45º+tan 30° cos 20' is equal​

Answer 1

Answer:

please mark as brilliance

Step-by-step explanation:

At x=0

As x→0

+

[x−π]=−4

& [x]=0

x→0

+

lim

f(x)=

1+0

2

tan(π(−4))

=

1

0

=0

As x→0

−

[x−π]=−4

[x]=−1

x→0

−

lim

f(x)=

1+(−1)

2

tan(π(−4))

=

2

0

=0

∴ It is continuous at x=0

[x−π] always gives us an integer

⇒tan(nπ)=0(nϵI)

⇒f(x)=0= constant function

∴ continuous everywhere