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For triangle ABC, which one is equal to sine A? Group of answer choices sine B tangent C cosine C cosine B

For Triangle ABC Which One Is Equal To Sine A Group Of Answer Choices Sine B Tangent C Cosine C Cosine B class=

Sagot :

Answer:

sin(A) = cos(C)

Step-by-step explanation:

Trig ratios:

[tex]\mathsf{\sin(\theta)=\dfrac{O}{H} \ \ \ \cos(\theta)=\dfrac{A}{H} \ \ \ \tan(\theta)=\dfrac{O}{A}}[/tex]

(where [tex]\theta[/tex] is the angle, O is the side opposite the angle, A is the side adjacent to the angle, H is the hypotenuse, of a right triangle)

[tex]\mathsf{\sin(A)=\dfrac{BC}{AC}}[/tex]

[tex]\mathsf{\cos(C)=\dfrac{BC}{AC}}[/tex]

Therefore, sin(A) = cos(C)