Question

write formula sin (a+b) tan (a-b) ​

Answer 1

Answer:

Step-by-step explanation:

You can write tan(x)=sin(x)/cos(x).

Hence you can write tan(A-B)=sin(A-B)/cos(A-B)

Now you can substitute sin(A-B)= sinAcosB-cosAsinB and

cos(A-B)= cosAcosB+sinAsinB.

Hence, you get tan(A-B)= sinAcosB-cosAsinB/cosAcosB+sinAsinB

Divide the numerator and denominator by same factor cosAcosB. (Hence, it'll not change the result.)

therefore the equation changes into the desired formula,

tan(A-B)= tanA-tanB/1+tanAtanB