Asked by Anonymous
If tan(theta)=7/13 and cos(theta)<0, what is the exact value of sin(theta)?
Answers
Answered by
bobpursley
Tan is positive in the first quadrant, and the third quadrant.
cos is positive in first and fourth quadrant.
Which makes Theta in third quadrant (tan positive, cos negative). Sine therefore must also be negative.
Draw the triangle, legs 7 and 13, determine the hypotenuse, then sine.
cos is positive in first and fourth quadrant.
Which makes Theta in third quadrant (tan positive, cos negative). Sine therefore must also be negative.
Draw the triangle, legs 7 and 13, determine the hypotenuse, then sine.
There are no AI answers yet. The ability to request AI answers is coming soon!
Submit Your Answer
We prioritize human answers over AI answers.
If you are human, and you can answer this question, please submit your answer.