Advertisements
Advertisements
Question
If sinA = 0.8, find the other trigonometric ratios for A.
Solution
sinA = 0.8 = `(8)/(10) = (4)/(5) = "Perpendicular"/"Hypotenuse"`
Base
= `sqrt(("Hypotenuse")^2 - ("Perpendicular")^2`
= `sqrt(5^2 - 4^2)`
= `sqrt(25 - 16)`
= `sqrt(9)`
= 3
cos A = `"Base"/"Hypotenuse" = (3)/(5)` = 0.6
tan A = `"Perpendicular"/"Base" = (4)/(3)` = 1.33
cosecA = `(1)/"sin A" = (5)/(4)` = 1.25
sec A = `(1)/"cos A" = (5)/(3)` = 1.66
cot A = `(1)/"tan A" = (3)/(4)` = 0.75.
APPEARS IN
RELATED QUESTIONS
if `sec theta = 5/4` find the value of `(sin theta - 2 cos theta)/(tan theta - cot theta)`
If ∠A and ∠P are acute angles such that tan A = tan P, then show that ∠A = ∠P.
If A = 30° B = 60° verify Sin (A + B) = Sin A Cos B + cos A sin B
If sin (A + B) = 1 and cos (A – B) = 1, 00 ≤ (A + B) ≤ 900 and A > B, then find A and B.
Given: cos A = `( 5 )/ ( 13 )`
Evaluate:
- `(sin "A "–cot "A") / (2 tan "A")`
- `cot "A" + 1/cos"A"`
Use the information given in the following figure to evaluate:
`(10)/sin x + (6)/sin y – 6 cot y`.
In ΔABC, ∠A = 90°. If AB = 5 units and AC = 12 units, find: tan B.
In an isosceles triangle ABC, AB = BC = 6 cm and ∠B = 90°. Find the values of cos C
From the given figure, find all the trigonometric ratios of angle B
If cos θ : sin θ = 1 : 2, then find the value of `(8costheta - 2sintheta)/(4costheta + 2sintheta`
