Question

Based on the diagram, match the trigonometric ratios with the corresponding ratios of the sides of the triangle.


Tiles : cos B, tan C, sin B, tan B


Pairs :

C/B <-------->

B/A <-------->

B/C <-------->

C/A <-------->

Answer 1

This item can be easily solved if you take note of the mnemonics, SOH, CAH, TOA. Where,
                            sin (angle) = opposite side / hypotenuse
                            cos (angle) = adjacent side / hypotenuse
                            tan (angle) = opposite side / adjacent side

So, from the question above,
    1. cos B = C/A
     2. tan C = C/B
     3. sin B = B/A
    4. tan B = B/C

Answer 2

Based on the gven diagram, we can conclude that:

•  cos B = C/A
•  tan C = C/B
•  sin B = B/A
•  tan B = B/C

SOH, CAH, TOA. identity

Based on SOH, CAH, TOA. identity, we have the following equation:

sin (angle) = opposite side/hypotenuse

cos (angle) = adjacent side/hypotenuse

tan (angle) = opposite side/adjacent side

Hence based on the gven diagram, we can conclude that:

 cos B = C/A

 tan C = C/B

 sin B = B/A

 tan B = B/C

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