Question

If triangle ABC is right angled at C; then the value of sec (A+B) is
(a) 0 (b) 1 (c)2/√3 (d) not defined ​

Answer 1

Answer:

Answer is option d - NOT DEFINED

Step-by-step explanation:

As we know that ABC is a rigth angle triangle right angled at C which implies that -

angle C = 90°

angle A + angle B + angle C = 180° ( angle sum property of a triangle )

angle A + angle B + 90° = 180° ( as the value of C is given in the question )

angle A + angle B = 90° ( equation 1 )

So,

Sec ( A + B ) = Sec ( 90° ) ( according to equation 1 )

Sec 90° = Not defined. ( according to trigonometric table )

I hope you have understood ☺️☺️