Advertisements
Advertisements
प्रश्न
Given that sin α = `1/2` and cos β = `1/2`, then the value of α + β is ______.
विकल्प
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 = B = 60°, verify that cos (A − B) = cos A cos B + sin A sin B
If `sin (A – B) = 1/2` and `cos (A + B) = 1/2`, `0^@` < A + `B <= 90^@`, A > B Find A and B.
Verify each of the following:
(iii) `2 sin 30^0 cos 30^0`
tan 30° × tan ______° = 1
If sec A = `sqrt2`, find the value of :
`(3cos^2"A"+5tan^2"A")/(4tan^4"A"–sin^2"A")`
In triangle ABC; ∠ABC = 90°, ∠CAB = x°, tan x° = `(3)/(4)` and BC = 15 cm. Find the measures of AB and AC.
In triangle ABC, ∠B = 90° and tan A = 0.75. If AC = 30 cm, find the lengths of AB and BC.
In each of the following, one trigonometric ratio is given. Find the values of the other trigonometric.
cos A = `(7)/(25)`
In a right-angled triangle PQR, ∠PQR = 90°, QS ⊥ PR and tan R =`(5)/(12)`, find the value of sin ∠PQS
If cosec θ = `(29)/(20)`, find the value of: `("sec" θ)/("tan" θ - "cosec" θ)`
