हिंदी

Find the value of x in the following: 2 sin3x = √ 3 - Mathematics

Advertisements
Advertisements

प्रश्न

Find the value of x in the following:  2 sin3x = `sqrt(3)`

योग

उत्तर

2 sin3x = `sqrt(3)`

⇒ sin3x = `sqrt(3)/(2)`
⇒ sin3x = sin 60°
⇒ 3x = 60°
⇒ x = 20°.

shaalaa.com
  क्या इस प्रश्न या उत्तर में कोई त्रुटि है?
अध्याय 27: Trigonometrical Ratios of Standard Angles - Exercise 27.1

APPEARS IN

फ्रैंक Mathematics [English] Class 9 ICSE
अध्याय 27 Trigonometrical Ratios of Standard Angles
Exercise 27.1 | Q 8.1

संबंधित प्रश्न

Evaluate the following expression:

(i) `tan 60º cosec^2 45º + sec^2 60º tan 45º`

(ii) `4cot^2 45º – sec^2 60º + sin^2 60º + cos^2 90º.`


`(2 tan 30°)/(1+tan^2 30°)` = ______.


`(1- tan^2 45°)/(1+tan^2 45°)` = ______


`(2 tan 30°)/(1-tan^2 30°)` = ______.


Show that tan 48° tan 23° tan 42° tan 67° = 1


Evaluate the following :

`(sin 21^@)/(cos 69^@)`


Evaluate the following

`sec 11^@/(cosec 79^@)`


Evaluate the following :

`tan 35^@/cot 55^@  + cot 78^@/tan 12^@  -1`


Evaluate the following :

sin 35° sin 55° − cos 35° cos 55°


Express each one of the following in terms of trigonometric ratios of angles lying between 0° and 45°

cos 78° + sec 78°


Express each one of the following in terms of trigonometric ratios of angles lying between 0° and 45°

cot 85° + cos 75°


Prove that  tan 20° tan 35° tan 45° tan 55° tan 70° = 1


Prove that sin 48° sec 42° + cos 48° cosec 42° = 2


Evaluate:

`2/3 (cos^4 30° - sin^4 45°) - 3(sin^2 60° - sec^2 45°) + 1/4 cot^2 30°`.


Express each of the following in terms of trigonometric ratios of angles lying between 0° and 45°.

sec78° + cosec56°


find the value of: cos2 60° + sin2 30°


Prove that:

cos 30° . cos 60° - sin 30° . sin 60°  = 0


Prove that:

`((tan60°  + 1)/(tan 60°  – 1))^2 = (1+ cos 30°) /(1– cos 30°) `


If `sqrt3` = 1.732, find (correct to two decimal place)  the value of  `(2)/(tan 30°)`


Evaluate : 

`(3 sin 3"B" + 2 cos(2"B" + 5°))/(2 cos 3"B" – sin (2"B" – 10°)` ; when "B" = 20°.


Without using tables, evaluate the following: (sin90° + sin45° + sin30°)(sin90° - cos45° + cos60°).


Without using tables, find the value of the following: `(sin30°)/(sin45°) + (tan45°)/(sec60°) - (sin60°)/(cot45°) - (cos30°)/(sin90°)`


If A = 30° and B = 60°, verify that: sin (A + B) = sin A cos B + cos A sin B


In ΔABC right angled at B, ∠A = ∠C. Find the value of:
(i) sinA cosC + cosA sinC
(ii) sinA sinB + cosA cosB


Verify the following equalities:

1 + tan2 30° = sec2 30°


If 2 sin 2θ = `sqrt(3)` then the value of θ is 


If sin(A + B) = 1 and cos(A – B)= `sqrt(3)/2`, 0° < A + B ≤ 90° and A > B, then find the measures of angles A and B.


If A and B are acute angles such that sin (A – B) = 0 and 2 cos (A + B) – 1 = 0, then find angles A and B.


Evaluate: `(5  "cosec"^2  30^circ - cos 90^circ)/(4 tan^2 60^circ)`


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×