Answered

Join the IDNLearn.com community and get your questions answered by knowledgeable individuals. Our community provides timely and precise responses to help you understand and solve any issue you face.

Use the following information to determine tan(2x).

cos(x)=2/3 and sin(x) is negative

Sagot :

LammettHashidn

We have

tan(2x) = sin(2x) / cos(2x)

tan(2x) = (2 sin(x) cos(x)) / (2 cos²(x) - 1)

Recall that

sin²(x) + cos²(x) = 1

and since sin(x) is negative, it follows that

sin(x) = - √(1 - (2/3)²) = -√5/3

Then

tan(2x) = (2 (-√5/3) (2/3)) / (2 (2/3)² - 1) = 4√5

Thank you for joining our conversation. Don't hesitate to return anytime to find answers to your questions. Let's continue sharing knowledge and experiences! Your questions deserve reliable answers. Thanks for visiting IDNLearn.com, and see you again soon for more helpful information.