Question

b. If tan (A + B) = V3, tan (A - B) = 1/V3, 0° <A + B < 90°, A > B. Calculate
tan A sin (A + B) + cos A tan (A - B)​

Answer 1

Answer:

Given tan(A+B)=

3

⟹A+B=60

∘

⋯(1)

tan(A−B)=

3

1

⟹A−B=30

∘

⋯(2)

(1)+(2)⟹2A=90

∘

⟹A=45

∘

Put A value in (1)

⟹B=60

∘

−45

∘

=15