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Answer:
Step-by-step explanation:
For this triangle we have to
We want to find the length of b
We know that the sum of the internal angles of a triangle is 180 °
So
Now we use the sine theorem to find the length of b:
Then:
Answer:
2 -
Step-by-step explanation:
Using the addition formula for tangent
tan(A - B) = and the exact values
tan45° = 1 , tan60° = , then
tan15° = tan(60 - 45)°
tan(60 - 45)°
=
=
Rationalise the denominator by multiplying numerator/ denominator by the conjugate of the denominator.
The conjugate of 1 + is 1 -
= ← expand numerator/denominator using FOIL
=
=
= +
= 2 -