English
Maharashtra State BoardSSC (English Medium) 10th Standard

If Sin θ = 1 2 , Then Find the Value of θ. - Geometry Mathematics 2

Advertisements
Advertisements

Question

If sin θ = `1/2`, then find the value of θ. 

Sum
Advertisements

Solution

sin θ = `1/2`

`sin 30^circ = 1/2`  ................ [using trignometric table]

∴ θ = 30°

shaalaa.com
  Is there an error in this question or solution?
2018-2019 (July) Set 1

APPEARS IN

RELATED QUESTIONS

Prove that ` \frac{\sin \theta -\cos \theta +1}{\sin\theta +\cos \theta -1}=\frac{1}{\sec \theta -\tan \theta }` using the identity sec2 θ = 1 + tan2 θ.


Prove the following identities, where the angles involved are acute angles for which the expressions are defined:

`cos A/(1 + sin A) + (1 + sin A)/cos A = 2 sec A`


Prove that (cosec A – sin A)(sec A – cos A) sec2 A = tan A.


Prove the following trigonometric identities

`(1 + tan^2 theta)/(1 + cot^2 theta) = ((1 - tan theta)/(1 - cot theta))^2 = tan^2 theta`


Prove the following trigonometric identities.

`(cot A - cos A)/(cot A + cos A) = (cosec A - 1)/(cosec A + 1)`


Prove the following trigonometric identities.

`tan A/(1 + tan^2  A)^2 + cot A/((1 + cot^2 A)) = sin A  cos A`


Prove that

`sqrt((1 + sin θ)/(1 - sin θ)) + sqrt((1 - sin θ)/(1 + sin θ)) = 2 sec θ`


\[\frac{\tan \theta}{\sec \theta - 1} + \frac{\tan \theta}{\sec \theta + 1}\] is equal to 


Prove the following identity :

`(cos^3θ + sin^3θ)/(cosθ + sinθ) + (cos^3θ - sin^3θ)/(cosθ - sinθ) = 2`


prove that `1/(1 + cos(90^circ - A)) + 1/(1 - cos(90^circ - A)) = 2cosec^2(90^circ - A)`


Prove that:

`sqrt((sectheta - 1)/(sec theta + 1)) + sqrt((sectheta + 1)/(sectheta - 1)) = 2cosectheta`


Prove that: `(1 + cot^2 θ/(1 + cosec θ)) = cosec θ`.


Choose the correct alternative:

cos θ. sec θ = ?


Prove that `sintheta/(sectheta+ 1) +sintheta/(sectheta - 1)` = 2 cot θ


Prove that `(sintheta + "cosec"  theta)/sin theta` = 2 + cot2θ


Prove that

sin2A . tan A + cos2A . cot A + 2 sin A . cos A = tan A + cot A


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


If a sinθ + b cosθ = c, then prove that a cosθ – b sinθ = `sqrt(a^2 + b^2 - c^2)`.


Let α, β be such that π < α – β < 3π. If sin α + sin β = `-21/65` and cos α + cos β = `-27/65`, then the value of `cos  (α - β)/2` is ______.


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×