1. If Cos(a)=Sin(52), what is the value of A?
A. 28
B. 38
C. 52
D. 128

2. If Sin B=7/9, what is Cos A?
Cos A=____

What must be true about A and ?
A. a and b are complementary angles
B. mC. mD. a and b are suplementary angles

Question

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calculista calculista · Answer 1 · 2020-03-01T05:37:36+01:00

Answer:

Part 1) Option B. 38°

Part 2) Cos A=7/9 ( A and B are complementary angles)

Step-by-step explanation:

Part 1) If Cos(A)=Sin(52), what is the value of A?

we know that

If two angles are complementary, the cofunction identities state that the sine of one equals the cosine of the other and vice versa

so

If Cos(A)=Sin(52)

then

[tex]A+52^o=90^o[/tex]

solve for A

[tex]A=90^o-52^o=38^o[/tex]

Part 2) If Sin B=7/9, what is Cos A?

Cos A=____

In this problem we have that

Angle A and Angle B are complementary angles

so

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

Remember that

If two angles are complementary, the cofunction identities state that the sine of one equals the cosine of the other and vice versa

so

If Sin B=7/9

then

Cos A=7/9