meredith48034
Answered

given right triangle ABC with right angle C and cos A= 1/3, which of the following expressions is also equal to 1/3?
a. sinB
b. sin(90°-A)
c. sin(90°-B)
d. Both A and B are correct​

Answer :

xKelvin

Answer:

D

Step-by-step explanation:

So we know that:

[tex]\cos(A)=1/3[/tex]

To co-function identities state that:

[tex]\cos(\theta)=\sin(90\textdegree-\theta)[/tex]

Therefore, this is the same as:

[tex]\cos(A)=\sin(90\textdegree-A)[/tex]

B is correct.

Additionally, recall that in a right triangle, the two other angles must add up to 90. In other words:

[tex]A+B=90[/tex]

Subtract A from both sides:

[tex]B=90-A[/tex]

So we can make the substitution:

[tex]\sin(90-A)=\sin(B)[/tex]

Thus, A is also correct.

The correct answer is D .

Aajaypry07

Answer:D

Step-by-step explanation:

So we know that:

To co-function identities state that:

Therefore, this is the same as:

B is correct.

Additionally, recall that in a right triangle, the two other angles must add up to 90. In other words:

Subtract A from both sides:

So we can make the substitution:

Thus, A is also correct.

The correct answer is D .

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