Advertisements
Advertisements
प्रश्न
Find the value of x in the following :
`2sin 3x = sqrt3`
Advertisements
उत्तर
We have
`2 sin 3x = sqrt3`
`=> sin 3x = sqrt3/2`
since `sin 60^@ = sqrt3/2`
Therefore
`sin 3x = sqrt3/2`
sin 3x = sin 60°
3x = 60°
`x = 60^@/3`
x = 20°
APPEARS IN
संबंधित प्रश्न
If cot θ = `7/8`, evaluate cot2 θ.
In ΔPQR, right angled at Q, PR + QR = 25 cm and PQ = 5 cm. Determine the values of sin P, cos P and tan P.
State whether the following are true or false. Justify your answer.
The value of tan A is always less than 1.
In the following, trigonometric ratios are given. Find the values of the other trigonometric ratios.
`sin theta = 11/5`
If `tan theta = a/b`, find the value of `(cos theta + sin theta)/(cos theta - sin theta)`
If `cos θ = 12/13`, show that `sin θ (1 - tan θ) = 35/156`.
If sin θ = `12/13`, Find `(sin^2 θ - cos^2 θ)/(2sin θ cos θ) × 1/(tan^2 θ)`.
if `cos theta = 3/5`, find the value of `(sin theta - 1/(tan theta))/(2 tan theta)`
if `sin theta = 3/4` prove that `sqrt(cosec^2 theta - cot)/(sec^2 theta - 1) = sqrt7/3`
If `tan θ = 20/21` show that `(1 - sin theta + cos theta)/(1 + sin theta + cos theta) = 3/7`
If Cosec A = 2 find `1/(tan A) + (sin A)/(1 + cos A)`
Evaluate the following
cos2 30° + cos2 45° + cos2 60° + cos2 90°
Evaluate the Following
`cot^2 30^@ - 2 cos^2 60^circ- 3/4 sec^2 45^@ - 4 sec^2 30^@`
Evaluate the Following
(cos 0° + sin 45° + sin 30°)(sin 90° − cos 45° + cos 60°)
The value of sin² 30° – cos² 30° is ______.
Find the value of sin 45° + cos 45° + tan 45°.
Prove that `tan θ/(1 - cot θ) + cot θ/(1 - tanθ)` = 1 + sec θ cosec θ
Let tan9° = `(1 - sqrt((sqrt(5)k)/m))k` where k = `sqrt(5) + 1` then m is equal to ______.
If b = `(3 + cot π/8 + cot (11π)/24 - cot (5π)/24)`, then the value of `|bsqrt(2)|` is ______.
Evaluate 2 sec2 θ + 3 cosec2 θ – 2 sin θ cos θ if θ = 45°.
