The expression cos 42° in terms of sine

Mathematics

1 answer:

GalinKa [24]3 years ago

8 0

Answer:

$\because \: \cos \theta = \sin \: (90 \degree - \theta) \\ \\ \therefore \: \cos \: 42 \degree = \sin \: (90 \degree - 42 \degree) \\ \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = \sin \: 48 \degree \\ \\ \: \: \: \: \: \: \: \: \: \: \: \orange{ \boxed{ \therefore \: \cos \: 42 \degree =\sin \: 48 \degree}}$

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I will name brianliest if correct.

Black_prince [1.1K]

Answer:

C. or 3 1/4

Step-by-step explanation:

First, turn all of the amount of fruits (Grapes, Melon, and Pineapple) into an improper fraction.

Grapes: 11/3

Melon: 9/4

Pineapple: 11/4

Then, make a common denominater for each fraction, which is 12, add all of them up. Since you know that the amount of strawberries that Maria uses is 3/8 TIMES the amount of the other fruits, so you multiply the fruits by 3/8.

Grapes: 44/12

Melon: 27/12

Pineapple: 33/12

44/12 + 27/12 + 33/12 times 3/8

= 104/12 times 3/8

= (if you simplify) 13/4 times 1/1 (1/1 = 1)

= 13/4

= 3 1/4

So, the answer is C. 3 1/4

(I hope this helped. Sorry if I was too slow.)

7 0

3 years ago