हिंदी

Find the Value of X in the Following : 2 Sin X/2 = 1 - Mathematics

Advertisements
Advertisements

प्रश्न

Find the value of x in the following :

`2 sin  x/2 = 1`

Advertisements

उत्तर

We have

`2 sin  x/2 = 1`

`=> sin  x/2 = 1/2`

Since `sin 30^@ = 1/2`

Therefore

`sin x/2 = 1/2`

`sin  x/2 = sin 30^@`

`x/2 = 30^@`

`x = 2 xx 30^@`

`=> x = 60^@`

Therefore

`x = 60^@`

shaalaa.com
  क्या इस प्रश्न या उत्तर में कोई त्रुटि है?
अध्याय 10: Trigonometric Ratios - Exercise 10.2 [पृष्ठ ४२]

APPEARS IN

आरडी शर्मा Mathematics [English] Class 10
अध्याय 10 Trigonometric Ratios
Exercise 10.2 | Q 21 | पृष्ठ ४२

वीडियो ट्यूटोरियलVIEW ALL [2]

संबंधित प्रश्न

If sin A = `3/4`, calculate cos A and tan A.


Given sec θ = `13/12`, calculate all other trigonometric ratios.


State whether the following are true or false. Justify your answer.

cot A is the product of cot and A.


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.

`sin theta = 11/5`


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


Evaluate the Following:

`tan 45^@/(cosec 30^@) + sec 60^@/cot 45^@  - (5 sin 90^@)/(2 cos 0^@)`


The value of sin² 30° – cos² 30° is ______.


If cos (40° + A) = sin 30°, then value of A is ______.


3 sin² 20° – 2 tan² 45° + 3 sin² 70° is equal to ______.


If x sin (90° – θ) cot (90° – θ) = cos (90° – θ), then x is equal to ______.


If sin θ + sin² θ = 1, then cos² θ + cos4 θ = ______.


If sin A = `1/2`, then the value of cot A is ______.


A ladder rests against a vertical wall at an inclination α to the horizontal. Its foot is pulled away from the wall through a distance p so that its upper end slides a distance q down the wall and then the ladder makes an angle β to the horizontal. Show that `p/q = (cos β - cos α)/(sin α - sin β)`


In ΔABC, ∠ABC = 90° and ∠ACB = θ. Then write the ratios of sin θ and tan θ from the figure.


What will be the value of sin 45° + `1/sqrt(2)`?


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


Find an acute angle θ when `(cos θ - sin θ)/(cos θ + sin θ) = (1 - sqrt(3))/(1 + sqrt(3))`


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


In a right triangle PQR, right angled at Q. If tan P = `sqrt(3)`, then evaluate 2 sin P cos P.


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×