Question

Drag the tiles to the correct boxes to complete the pairs not all tiles will be used match each sine or cosine value to its equivalent measure
Cos(57=
Sin(43)=
Cos(43)=
Sin(32)=

A: cos(137)
B: cos(47)
C: sin(16)
D: sin(106)
E: sin(33)
F: cos(58)
G: sin(123)

Answer 1

Sines and cosines are trigonometric identities

The corresponding match of the sine or cosine values are:

• Cos(57) = Sin(33)
• Sin(43) = Cos(47)
• Cos(43) = Sin(47)
• Sin(32) = Cos(58)

How to determine the sine and cosine values

Given that:

$\sin(a) = \cos(b)$

Then:

$a + b = 90$

This means that, angles a and b are opposite values

For cos(57),

The sine value is: sin(33)

This is so because:

57 + 33 = 90

When the above formula is applied to the remaining functions, we have:

sin(43) = cos(47)

cos(43) = sin(47)

sin(32) = cos(58)

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