Question

if sin(a+b)=cos(a+b) thentan(a+b)=
​

Answer 1

Answer:

sin(A+B)=cos(A−B)

⇒sin(A+B)=sin[90o−(A−B)]

⇒A+B=90o−A−B

⇒2A=90o⇒A=45o=4π

If B=0, then A+B=4π

If B=45o, then A+B=90o=2π

Answer 2

Answer:

π/2

Step-by-step explanation:

sin(A+B)=cos(A−B)

⇒sin(A+B)=sin[90

o

−(A−B)]

⇒A+B=90

o

−A−B

⇒2A=90

o

⇒A=45

o

=

4

π

If B=0, then A+B=

4

π

If B=45

o

, then A+B=90

o

=

2

π