Welcome to Westonci.ca, the place where your questions are answered by a community of knowledgeable contributors. Our platform offers a seamless experience for finding reliable answers from a network of knowledgeable professionals. Get precise and detailed answers to your questions from a knowledgeable community of experts on our Q&A platform.
Sagot :
Answer:
Sin O = [tex]\frac{2\sqrt{5} }{5}[/tex]
Cos O = [tex]-\frac{\sqrt{5} }{5}[/tex]
Cot O = [tex]-\frac{1}{2}[/tex]
Csc O = [tex]\frac{\sqrt{5} }{2}[/tex]
Sec O = [tex]-\sqrt{5}[/tex]
Step-by-step explanation:
Do you know the definitions of all the trig functions? If not, you need to memorize them. Also, you need to memorize which functions are positive in each quadrant. All functions are positive in quad I, sine and reciprocal are positive in quad II, tan and reciprocal are positive in quad III, and cos and reciprocal are positive in quad IV. OK?
Tan of an angle is opposite side/adjacent side of a right triangle
If the tan O = - 2. let the opp. side = 2 and adjacent side = 1. Then the hypotenuse = [tex]\sqrt{2^{2} + 1^{2} } = \sqrt{4 + 1} = \sqrt{5}[/tex]
Sine is positve and equals opp/hyp = [tex]\frac{2}{\sqrt{5} } = \frac{2\sqrt{5} }{5}[/tex]
Cos is negative and equals adj/hyp = [tex]-\frac{1}{\sqrt{5} } = -\frac{\sqrt{5} }{5}[/tex]
Cot is negative and is the reciprocal of the tan or adj/opp = [tex]\frac{-1}{2}[/tex]
Csc is positive and is the reciprocal of the sine or hyp/opp = [tex]\frac{\sqrt{5} }{2}[/tex]
Sec is negative and is the reciprocal of the cos or hyp/adj = [tex]-\sqrt{5}[/tex]
Thank you for your visit. We're dedicated to helping you find the information you need, whenever you need it. We appreciate your time. Please revisit us for more reliable answers to any questions you may have. Westonci.ca is here to provide the answers you seek. Return often for more expert solutions.
