Advertisements
Advertisements
Question
In ΔABC right angled at B, AB = 24 cm, BC = 7 m. Determine:
sin A, cos A
Advertisements
Solution
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`
APPEARS IN
RELATED QUESTIONS
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
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.
tan θ = 11
In the following, one of the six trigonometric ratios is given. Find the values of the other trigonometric ratios.
`tan alpha = 5/12`
In the following, one of the six trigonometric ratios is given. Find the values of the other trigonometric ratios.
`cot theta = 12/5`
Evaluate the Following:
`(tan^2 60^@ + 4 cos^2 45^@ + 3 sec^2 30^@ + 5 cos^2 90)/(cosec 30^@ + sec 60^@ - cot^2 30^@)`
Find the value of x in the following :
`2 sin x/2 = 1`
In ΔABC is a right triangle such that ∠C = 90° ∠A = 45°, BC = 7 units find ∠B, AB and AC
If cos (40° + A) = sin 30°, then value of A is ______.
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 ______.
If 4 tanθ = 3, then `((4 sintheta - costheta)/(4sintheta + costheta))` is equal to ______.
Find the value of sin 0° + cos 0° + tan 0° + sec 0°.
If sec θ = `1/2`, what will be the value of cos θ?
Find will be the value of cos 90° + sin 90°.
If sin θ – cos θ = 0, then find the value of sin4 θ + cos4 θ.
(3 sin2 30° – 4 cos2 60°) is equal to ______.
In ΔBC, right angled at C, if tan A = `8/7`, then the value of cot B is ______.
Evaluate: 5 cosec2 45° – 3 sin2 90° + 5 cos 0°.
