Advertisements
Advertisements
प्रश्न
Given that sin α = `1/2` and cos β = `1/2`, then the value of α + β is ______.
पर्याय
0°
90°
30°
60°
उत्तर
Given that sin α = `1/2` and cos β = `1/2`, then the value of α + β is 90°.
Explanation:
sin α = `1/2`
sin 30° = `1/2`
∴ α = 30°
cos β = `1/2`
∴ β = 60°
∴ α + β = 30° + 60°
= 90°
APPEARS IN
संबंधित प्रश्न
If ∠A and ∠P are acute angles such that tan A = tan P, then show that ∠A = ∠P.
If Sin (A + B) = 1 and cos (A – B) = 1, 0° < A + B ≤ 90° A ≥ B. Find A & B
If cosec θ = `sqrt(10)` find all the values of all T-ratios of θ
Using the formula, sin A = `sqrt((1-cos 2A)/2) ` find the value of sin 300, it being given that cos 600 = `1/2`
From the following figure, find:
(i) y
(ii) sin x°
(iii) (sec x° - tan x°) (sec x° + tan x°)
In triangle ABC; ∠ABC = 90°, ∠CAB = x°, tan x° = `(3)/(4)` and BC = 15 cm. Find the measures of AB and AC.
If tan A + cot A = 5;
Find the value of tan2 A + cot2 A.
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.
In ΔABC, ∠B = 90°. If AB = 12units and BC = 5units, find: cot C
From the given figure, find the values of tan C