मराठी

Find the Value of X in the Following : 2sin 3x = Square Root 3

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°

shaalaa.com
  या प्रश्नात किंवा उत्तरात काही त्रुटी आहे का?
पाठ 10: Trigonometric Ratios - Exercise 10.2 [पृष्ठ ४२]

APPEARS IN

आर.डी. शर्मा Mathematics [English] Class 10
पाठ 10 Trigonometric Ratios
Exercise 10.2 | Q 20 | पृष्ठ ४२

व्हिडिओ ट्यूटोरियलVIEW ALL [2]

संबंधित प्रश्‍न

If cot θ = `7/8` evaluate `((1+sin θ )(1-sin θ))/((1+cos θ)(1-cos θ))`.


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.

`cos A = 4/5`


In the following, trigonometric ratios are given. Find the values of the other trigonometric ratios.

`cosec theta = sqrt10`


If 3 cot θ = 2, find the value of  `(4sin theta - 3 cos theta)/(2 sin theta + 6cos theta)`.


If `cos θ = 12/13`, show that `sin θ (1 - tan θ) = 35/156`.


If `sin theta = a/b` find sec θ + tan θ in terms of a and b.


If `tan θ = 20/21` show that `(1 - sin theta + cos theta)/(1 + sin theta + cos theta) = 3/7`


Evaluate the following

tan2 30° + tan2 60° + tan45°


Evaluate the Following

4(sin4 30° + cos2 60°) − 3(cos2 45° − sin2 90°) − sin2 60°


Evaluate the Following

`sin 30^2/sin 45^@ + tan 45^@/sec 60^@ - sin 60^@/cot 45^@ - cos 30^@/sin 90^@`


sin (45° + θ) – cos (45° – θ) is equal to ______.


If sin 2A = `1/2` tan² 45° where A is an acute angle, then the value of A is ______.


Given that sinα = `1/2` and cosβ = `1/2`, then the value of (α + β) is ______.


Find will be the value of cos 90° + sin 90°.


The maximum value of the expression 5cosα + 12sinα – 8 is equal to ______.


If b = `(3 + cot  π/8 + cot  (11π)/24 - cot  (5π)/24)`, then the value of `|bsqrt(2)|` is ______.


If θ is an acute angle of a right angled triangle, then which of the following equation is not true?


(3 sin2 30° – 4 cos2 60°) is equal to ______.


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×