Question

What is the formula of tanA + tanB ??

Answer 1

TO FIND

the formula of tanA+tanB

GIVEN

tanA+tanB

SOLUTION

tanA + tanB

= sinA/cosA + sinB/cosB

= sinAcosB+cosAsinB/cosAcosB

= sin(A+B)/cosAcosB

ALSO

tanA+tanB=

tanA+tanB / 1+tanA*tanB

Answer 2

Answer: tanA+tanB=$\frac{sin(A+B)}{cosAcosB}$

Step-by-step explanation:

• To find the formulae of tan A+ tan B.
• tan A + tan B

  ⇒  $\frac{sinA}{cosA}+\frac{sinB}{cosB}$

  ⇒$\frac{sinAcosB+sinBcosA}{cosAcosB}$

  ⇒$\frac{sin(A+B)}{cosAcosB}$

• Hence the required formulae tan A + tan B= $\frac{sin(A+B)}{cosAcosB}$.

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