Advertisements
Advertisements
प्रश्न
Given that sinα = `1/2` and cosβ = `1/2`, then the value of (α + β) is ______.
विकल्प
0°
30°
60°
90°
Advertisements
उत्तर
Given that sinα = `1/2` and cosβ = `1/2`, then the value of (α + β) is 90°.
Explanation:
Given,
sinα = `1/2` = sin30° ...`[∵ sin 30^circ = 1/2]`
⇒ α = 30°
And cosβ = `1/2` = cos60° ...`[∵ 60^circ = 1/2]`
⇒ β = 60°
∴ α + β = 30° + 60° = 90°
APPEARS IN
संबंधित प्रश्न
State whether the following are true or false. Justify your answer.
sec A = `12/5` for some value of angle A.
In the following, trigonometric ratios are given. Find the values of the other trigonometric ratios.
`sin A = 2/3`
In the following, trigonometric ratios are given. Find the values of the other trigonometric ratios.
`cos A = 4/5`
If `tan theta = a/b`, find the value of `(cos theta + sin theta)/(cos theta - sin theta)`
If `tan theta = 24/7`, find that sin 𝜃 + cos 𝜃
Evaluate the following
cos 60° cos 45° - sin 60° ∙ sin 45°
Evaluate the following
`2 sin^2 30^2 - 3 cos^2 45^2 + tan^2 60^@`
Evaluate the Following
`4/(cot^2 30^@) + 1/(sin^2 60^@) - cos^2 45^@`
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^@)`
In ΔABC is a right triangle such that ∠C = 90° ∠A = 45°, BC = 7 units find ∠B, AB and AC
The value of sin² 30° – cos² 30° is ______.
If cos (40° + A) = sin 30°, then value of A is ______.
If cos A + cos² A = 1, then sin² A + sin4 A is equal to ______.
5 tan² A – 5 sec² A + 1 is equal to ______.
If sin A = `1/2`, then the value of cot A is ______.
Prove the following:
If tan A = `3/4`, then sinA cosA = `12/25`
Find the value of sin 0° + cos 0° + tan 0° + sec 0°.
If sin θ – cos θ = 0, then find the value of sin4 θ + cos4 θ.
