The terminal ray of an angle passes through the point (2,-5 ? ? v ) .

Question

The terminal ray of an angle passes through the point (2,−5 ? ?  √ ) . What is the value of sine for this angle? What is the value of cosine for this angle? What is the value of tangent for this angle?

Answer 1

the ray, x-axis, and the line parallel to the y-axis form a right triangle

the legs are 2 and 5 and the hypotenuse is √29 (2^2+5^2=29)

you are in Q4

sin=opp/hyp

sin=5/√29

sin=5√29/29

sin=5*5.385164/29

sin=26.9258/29

sin=-0.928475 (sin is negative in Q4)

cos=2/√29

cos=2√29/29

cos=2*5.385164/29

cos=10.77032/29

cos=0.37139

tan=sin/cos

tan=-0.928475/0.37139

tan=-2.500134