In $Δ A B C$ , right-angled at $B$ , $A B = 24$ cm, $B C = 7$ cm. Determine:
(i) $sin A, cos A$
(ii) $sin C, cos C$

Open in App

Solution

$∠ B = 90^{o}$
$A C^{2} = A B^{2} + B C^{2}$ ...(Pythagoras theorem)
$A C^{2} = (24)^{2} + (7)^{2}$
$A C = 25$

(i) $sin A = \frac{B C}{A C} = \frac{7}{25}$ , $cos A = \frac{A B}{A C} = \frac{24}{25}$

(ii) $sin C = \frac{A B}{A C} = \frac{24}{25}, cos C = \frac{B C}{A C} = \frac{7}{25}$

Suggest Corrections

Similar questions

Δ

A B = 24

B C = 7

sin A, cos A

sin C, cos C

$Δ$ ABC is right-angled at B, with AB = 7 cm and AC - BC = 1 cm. Which of the following is correct?

In ΔABC right angled at B, AB = 24 cm, BC = 7 cm. Determine

(i) sin A, cos A

(ii) sin C, cos C

In a $Δ A B C$ , $∠ B = 90^{o}, A B = 24 c m$ and $B C = 7 c m$ .

Find (i) sin A (ii) cos A (iii) sin C (iv) cos C.

△ A B C

B, A B = 24 c m

B C = 7 c m

sin A, cos A

sin C, cos C

Join BYJU'S Learning Program