Let A,B,C is a right angled triangle at B, AC=13 cm & AB=12 cm. Find the values of sinC, tanA & secC
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Step-by-step explanation:
In △ABC,
⇒ ∠B=90 [ Given ]
⇒ AB=12cm and AC=13cm [ Given ]
Here, O is center of a circle and x is a radius.
⇒ (AC) ^2 = (AB)^2 +(BC) ^2 [ By Pythagoras theorem ]
⇒ (13) ^2 =(12) ^2 +(BC) ^2
⇒ 169=144+(BC) ^2
⇒ (BC) ^2 =25
∴ BC=5cm
Sin C = Opposite Side/Hypotenuse
= AB/AC
= 12/13
Tan A = Opposite Side/Adjacent Side
= BC/AB
= 5/12
Sec C = Hypotenuse/Opposite Side
= AC/AB
= 13/12
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