Question

sin A + COS A (b) Given that 16 cot A = 12, find the value of sin A - COS A
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Answer 1

Answer:

$\frac{1}{5}$

Step-by-step explanation:

16 cotA = 12

therfore, cotA = $\frac{3}{4}$

Base = 3 units and Perpendicular = 4 units

Hypotenuse = 5 units (by pythagorus theorem)

SinA = $\frac{4}{5}$ and CosA = $\frac{3}{5}$

SinA - CosA = $\frac{4}{5} - \frac{3}{5} = \frac{1}{5}$