Advertisements
Advertisements
Question
In ΔABC right angled at B, AB = 24 cm, BC = 7 m. Determine:
sin C, cos C
Advertisements
Solution
ΔABC is right angled at B
AB = 24cm, BC = 7cm.

Let ‘x’ be the hypotenuse,
By applying Pythagoras
AC2 = AB2 + BC2
x2 = 242 + 72
x2 = 576 + 49
x2 = 625
x = 25
For Sin C, Cos C
sin C = `("AB")/("AC") = 24/25`
cos C = `("BC")/("AC") = 7/25`
APPEARS IN
RELATED QUESTIONS
If ∠A and ∠B are acute angles such that cos A = cos B, then show that ∠A = ∠B.
In ΔABC, right angled at B. If tan A = `1/sqrt3` , find the value of
- sin A cos C + cos A sin C
- cos A cos C − sin A sin C
In the following, trigonometric ratios are given. Find the values of the other trigonometric ratios.
`sin A = 2/3`
In the following, trigonometric ratios are given. Find the values of the other trigonometric ratios.
`sec theta = 13/5`
Find the value of x in the following :
`sqrt3 sin x = cos x`
Find the value of x in the following :
`sqrt3 tan 2x = cos 60^@ + sin45^@ cos 45^@`
Find the value of x in each of the following :
cos x = cos 60º cos 30º + sin 60º sin 30º
In ΔABC is a right triangle such that ∠C = 90° ∠A = 45°, BC = 7 units find ∠B, AB and AC
If sin 2A = `1/2` tan² 45° where A is an acute angle, then the value of A is ______.
If sin θ + sin² θ = 1, then cos² θ + cos4 θ = ______.
5 tan² A – 5 sec² A + 1 is equal to ______.
If sin A = `1/2`, then the value of cot A is ______.
In ΔABC, ∠ABC = 90° and ∠ACB = θ. Then write the ratios of sin θ and tan θ from the figure.

What will be the value of sin 45° + `1/sqrt(2)`?
In the given figure, if sin θ = `7/13`, which angle will be θ?

Let f(x) = sinx.cos3x and g(x) = cosx.sin3x, then the value of `7((f(π/7) + g(π/7))/(g((5π)/14) + f((5π)/14)))` is ______.
(3 sin2 30° – 4 cos2 60°) is equal to ______.
