What is the value of sec theta given the diagram below? a) b)c)d)

answer: option a   -   is correct

explanation:

from given diagram we have (x,y) is (-3,6)

we will use formula from that is

tan =

substituting the values of x=-3 and y =6

tan =   = -2

lies in the second quadrant

in first quadrant all trigonometric functions are positive   angle transformation will be   or

in second quadrant sin and cosec are positive and angle transformation can be (-)   or (+)

in third quadrant tan and cot are positive transformation of angles will be   (+) or (-)

in fourth quadrant cos and sec are positive   angle transformation will be ()  or   (+)

now, we will use the identity

we know that

sec=-

sec=

                                =

                                =

being negative sec= -

step-by-step explanation:

two pairs of adjacent sides are of equal length. this implies that one diagonal divides the kite into congruent triangles, and so the angles between the two pairs of equal sides are equal in measure. it also implies that the diagonals are perpendicular.