Math  /  Trigonometry

QuestionIn the accompanying diagram of right triangle ABC,CA B C, \angle C is a right angle. Which equation is valid for ABC\triangle A B C ? A. cosA=cb\cos A=\frac{c}{b} B. tanA=ba\tan A=\frac{b}{a} C. sinA=ac\sin A=\frac{a}{c} D. cosB=ab\cos B=\frac{a}{b}

Studdy Solution
Evaluate each option using the definitions: - A. cosA=cb\cos A = \frac{c}{b} is incorrect because cosA=bc\cos A = \frac{b}{c}. - B. tanA=ba\tan A = \frac{b}{a} is incorrect because tanA=ab\tan A = \frac{a}{b}. - C. sinA=ac\sin A = \frac{a}{c} is correct because sinA=oppositehypotenuse=ac\sin A = \frac{\text{opposite}}{\text{hypotenuse}} = \frac{a}{c}. - D. cosB=ab\cos B = \frac{a}{b} is incorrect because cosB=bc\cos B = \frac{b}{c}.
The valid equation for ABC\triangle ABC is:
sinA=ac \boxed{\sin A = \frac{a}{c}}

View Full Solution - Free
Was this helpful?

Studdy solves anything!

banner

Start learning now

Download Studdy AI Tutor now. Learn with ease and get all help you need to be successful at school.

ParentsInfluencer programContactPolicyTerms
TwitterInstagramFacebookTikTokDiscord