In this triangle, the product of sin b and tan c is _, and the product of sin c and tan b is _.

In this triangle, the product of sin B and tan C is c/a or cos B, and the product of sin C and tan B is b/a cos C. We determine these as follows:

sin B tan C = b/a (c/b) = c/a

sin C tan B = c/a (b/c) = b/a

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m∠a is 90°

m∠b is 40°

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