Question

-) In the adjacent diagram, A ABC is right angled at B. If AB=5 cm,
BC= 12 cm, and ZA=0, find the value of sec 0 -- cot 0.
Bb​

Answer 1

Secθ  - Cotθ = 131/60

Step-by-step explanation:

AB = 5 cm

BC = 12 cm

AC² = AB² + BC²

=> AC² = 5² + 12²

=> AC² = 169

=> AC = 13

Cosθ = Cos∠A  =  AB/AC = 5/13

Sinθ =Sin∠A  =  BC/AC = 12/13

Secθ  - Cotθ

= 1/Cosθ - Cosθ/Sinθ

=  1/(5/13)  -  (5/13)/(12/13)

= 13/5  -  5/12

= ( 13 * 12  - 5²)/(5 * 12)

= (156 - 25)/60

= 131/60

Secθ  - Cotθ = 131/60

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