-7p+2(5p-8)=6(p+6)-7
2 answers:
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If we use the substitution 
, then 
. If you try substituting just 
and 
into the integrand, though, you'll notice that there's a 
left over that we have to deal with.
To get rid of this problem, use the identity
and substitute in the left side of the identity for the extra , as shown:
From there, we can substitute in and , and then evaluate:
To get rid of this problem, use the identity
From there, we can substitute in
a ≈ 5.2, B ≈ 50°, C ≈ 95°
Solution:
Given data:
A = 35°, b = 7, c = 9
Using cosine law,
Taking square root on both sides.
a ≈ 5.2
Using sine law,
Multiply by 7 on both sides.
Switch the sides.
Sin B = 0.772
B ≈ 50°
Sum of all the angles of a triangle = 180°
A + B + C = 180°
35° + 50° + C = 180°
85° + C = 180°
C = 180° - 85°
C = 95°
Hence a ≈ 5.2, B ≈ 50°, C ≈ 95°.