English
Maharashtra State BoardSSC (English Medium) 10th Standard

Simplify : 2 Sin30 + 3 Tan45.

Advertisements
Advertisements

Question

Simplify : 2 sin30 + 3 tan45.

Advertisements

Solution

2.sin30 + 3.tan45
= 2 × `1/2` + 3 × 1
= 1 + 3
= 4
shaalaa.com
  Is there an error in this question or solution?
2018-2019 (March) Balbharati Model Question Paper Set 3

RELATED QUESTIONS

If secθ + tanθ = p, show that `(p^{2}-1)/(p^{2}+1)=\sin \theta`


Prove that `sqrt(sec^2 theta + cosec^2 theta) = tan theta + cot theta`


if `x/a cos theta + y/b sin theta = 1` and `x/a sin theta - y/b cos theta = 1` prove that `x^2/a^2 + y^2/b^2  = 2`


Prove the following identities:

`(cosecA)/(cosecA - 1) + (cosecA)/(cosecA + 1) = 2sec^2A`


Prove the following identities:

`cot^2A((secA - 1)/(1 + sinA)) + sec^2A((sinA - 1)/(1 + secA)) = 0`


Prove the following identities:

`(1 - 2sin^2A)^2/(cos^4A - sin^4A) = 2cos^2A - 1`


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


`(tan theta)/((sec theta -1))+(tan theta)/((sec theta +1)) = 2 sec theta`


`(sectheta- tan theta)/(sec theta + tan theta) = ( cos ^2 theta)/( (1+ sin theta)^2)`


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


Write the value of `sin theta cos ( 90° - theta )+ cos theta sin ( 90° - theta )`. 


Find the value of sin ` 48° sec 42° + cos 48°  cosec 42°`

 


If sin θ = `11/61`, find the values of cos θ using trigonometric identity.


If cos A + cos2 A = 1, then sin2 A + sin4 A =


Without using trigonometric table , evaluate : 

`sin72^circ/cos18^circ  - sec32^circ/(cosec58^circ)`


Prove that cot θ. tan (90° - θ) - sec (90° - θ). cosec θ + 1 = 0.


Prove that `( tan A + sec A - 1)/(tan A - sec A + 1) = (1 + sin A)/cos A`.


(sec θ + tan θ) . (sec θ – tan θ) = ?


Prove that sin4A – cos4A = 1 – 2 cos2A.


If tan θ + sec θ = l, then prove that sec θ = `(l^2 + 1)/(2l)`.


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×