Solution
Expression : tan(A - B) = X
= $$\frac{sin(A - B)}{cos(A - B)}$$
= $$\frac{sinAcosB-cosAsinB}{cosAcosB+sinAsinB}$$
Dividing both numerator and denominator by $$(cosAcosB)$$
= $$\frac{sinAcosB-cosAsinB}{cosAcosB}\div\frac{cosAcosB+sinAsinB}{cosAcosB}$$
= $$\frac{tanA-tanB}{1+tanAtanB}$$
=> Ans - (C)
Get AI Help
Create a FREE account and get:
- Free SSC Study Material - 18000 Questions
- 230+ SSC previous papers with solutions PDF
- 100+ SSC Online Tests for Free
