Advertisements
Advertisements
प्रश्न
In the given figure, ΔABC is right angled at B.AD divides BC in the ratio 1 : 2. Find
(i) `("tan"∠"BAC")/("tan"∠"BAD")` (ii) `("cot"∠"BAC")/("cot"∠"BAD")`
उत्तर
we are given that BD : DC = 1 : 2 as AD divides BC in the ratio 1 : 2. i.e BD = x,DC = 2x ⇒ BC = 3x
(i) `("tan"∠"BAC")/("tan"∠"BAD")`
= `("BC"/"AB")/("BD"/"AB")`
= `"BC"/"BD"`
= `(3x)/x`
= 3
(ii) `("cot"∠"BAC")/("cot"∠"BAD")`
= `("AB"/"BC")/("AB"/"BD")`
= `"BD"/"BC"`
= `x/(3x)`
= `(1)/(3)`.
APPEARS IN
संबंधित प्रश्न
In right angled triangle ABC. ∠C = 90°, ∠B = 60°. AB = 15 units. Find remaining angles and sides.
If sin θ = ` (a^2 - b^2)/(a^2+b^2)`find all the values of all T-ratios of θ .
If A = 600 and B = 300, verify that:
(iii) tan (A-B) = `(tan A-tanB)/(1+tan A tan B)`
Given: 4 cot A = 3
find :
(i) sin A
(ii) sec A
(iii) cosec2A - cot2A.
In rhombus ABCD, diagonals AC and BD intersect each other at point O.
If cosine of angle CAB is 0.6 and OB = 8 cm, find the lengths of the side and the diagonals of the rhombus.
If 2 sin x = `sqrt3` , evaluate.
(i) 4 sin3 x - 3 sin x.
(ii) 3 cos x - 4 cos3 x.
In an isosceles triangle ABC, AB = BC = 6 cm and ∠B = 90°. Find the values of cos2 C + cosec2 C
In the given figure, AC = 13cm, BC = 12 cm and ∠B = 90°. Without using tables, find the values of: sin A cos A
From the given figure, find all the trigonometric ratios of angle B
From the given figure, find the values of sin B
