Question

pls answer this question

correct option is 4 explain with steps ​

Answer 1

Answer:

sin inverse tan(180+45)

sin inverse tan(45)

sin inverse (1)

sin inverse(1) =π/2

Answer 2

Answer:

tan(-5pi/4)=-tan(5pi/4)

-tan(5pi/4)=-tan(pi+pi/4)

=-(tan(pi)+tan(pi/4))÷(1-(tan(pi)×tan(pi/4)))

=-(0+1)÷(1-(0)×(1))=-1÷1=-1

which implies

sin^-1(tan(-5pi/4))=sin^-1(-1)

=-sin^-1(1)=-(pi/2)=-pi/2

-pi/2 = 4th option

HENCE PROVED