Advertisements
Advertisements
प्रश्न
In ΔABC right angled at B, AB = 24 cm, BC = 7 m. Determine:
sin A, cos A
Advertisements
उत्तर
ΔABC is right angled at B
AB = 24 cm, BC = 7 cm
Let ‘x’ be the hypotenuse,
By applying Pythagoras
AC2 = AB2 + BC2
x2 = 242 + 72
x2 = 576 + 49
x2 = 625
x = 25
For Sin A, Cos A
At ∠A, opposite side = 7
adjacent side = 24
hypotenuse = 25
sin A = `"opposite side"/"hypotenuse" =("BC")/("AC") = 7/25`
cos A = `"adjacent side"/"hypotenuse" = ("AB")/("AC") = 24/25`
संबंधित प्रश्न
If cot θ = `7/8` evaluate `((1+sin θ )(1-sin θ))/((1+cos θ)(1-cos θ))`.
State whether the following are true or false. Justify your answer.
The value of tan A is always less than 1.
In the following, one of the six trigonometric ratios is given. Find the values of the other trigonometric ratios.
`cot theta = 12/5`
If `tan theta = a/b`, find the value of `(cos theta + sin theta)/(cos theta - sin theta)`
if `cos theta = 3/5`, find the value of `(sin theta - 1/(tan theta))/(2 tan theta)`
if `sin theta = 3/4` prove that `sqrt(cosec^2 theta - cot)/(sec^2 theta - 1) = sqrt7/3`
Evaluate the Following
4(sin4 60° + cos4 30°) − 3(tan2 60° − tan2 45°) + 5 cos2 45°
Evaluate the Following:
`tan 45^@/(cosec 30^@) + sec 60^@/cot 45^@ - (5 sin 90^@)/(2 cos 0^@)`
Find the value of x in the following :
`sqrt3 sin x = cos x`
3 sin² 20° – 2 tan² 45° + 3 sin² 70° is equal to ______.
If sin 2A = `1/2` tan² 45° where A is an acute angle, then the value of A is ______.
If x sin (90° – θ) cot (90° – θ) = cos (90° – θ), then x is equal to ______.
If sin A = `1/2`, then the value of cot A is ______.
Given that sinα = `1/2` and cosβ = `1/2`, then the value of (α + β) is ______.
The value of the expression `[(sin^2 22^circ + sin^2 68^circ)/(cos^2 22^circ + cos^2 68^circ) + sin^2 63^circ + cos 63^circ sin 27^circ]` is ______.
`sqrt(3)` cos2A + `sqrt(3)` sin2A is equal to ______.
If `θ∈[(5π)/2, 3π]` and 2cosθ + sinθ = 1, then the value of 7cosθ + 6sinθ is ______.
If θ is an acute angle of a right angled triangle, then which of the following equation is not true?
Evaluate: 5 cosec2 45° – 3 sin2 90° + 5 cos 0°.
