1.

If a and b are acute angles and sin a equals to cos a find the value of sin c

Answer»

Answer:

Sin C ranges from 0 to 1 depending on the cases explained below

Step-by-step explanation:

For sinA = cosA and angles are acute, then A = 45°

Assuming this is a triangle, since A and B are acute and considering the POSSIBLE cases

1. B < A, here, this makes C an obtuse angle

2. B > A, here, this makes C an acute angle

3. B = A, here, this makes C a RIGHT angle

for B < A, sin C is positive (Acute is 1st quadrant) and ranges from 0 to 1 exclusively

for B > A, sin C is positive (Obtuse is 2nd quadrant) and ranges from 0.7 to 1 exclusively

for B = A, sin C = 1


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