Respuesta :

Answer:

M = 32°

Step-by-step explanation:

This is a trigonometric identity, that is

sin²x + cos²x = 1

where x in both cases is the same angle, thus

sin²32° + cos²32° = 1

Hence M = 32°

If sin²(32°) + cos²(M) = 1, then the value of M is 32

How to determine the value of M?

The equation is given as;

sin²(32°) + cos²(M) = 1

As a general rule, we have:

sin²(Ф) + cos²(Ф) = 1

When both equations are compared, we have:

Ф = M and Ф = 32

This means that:

M = 32

Hence, if sin²(32°) + cos²(M) = 1, then the value of M is 32

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