मराठी
महाराष्ट्र राज्य शिक्षण मंडळएस.एस.सी (इंग्रजी माध्यम) इयत्ता १० वी

Find the Value of Sin 30 + Cos 60.

Advertisements
Advertisements

प्रश्न

Find the value of sin 30° + cos 60°.

बेरीज
Advertisements

उत्तर

sin 30° + cos 60° = `1/2 + 1/2`

= `(1 + 1)/2`

= `2/2`

= 1

∴ sin 30° + cos 60°  = 1

shaalaa.com
  या प्रश्नात किंवा उत्तरात काही त्रुटी आहे का?
2018-2019 (March) Set 1

संबंधित प्रश्‍न

Prove that `(tan^2 theta)/(sec theta - 1)^2 = (1 + cos theta)/(1 - cos theta)`


Prove the following trigonometric identities.

if x = a cos^3 theta, y = b sin^3 theta` " prove that " `(x/a)^(2/3) + (y/b)^(2/3) = 1`


If 3 sin θ + 5 cos θ = 5, prove that 5 sin θ – 3 cos θ = ± 3.


Prove the following identities:

`(cosecA - 1)/(cosecA + 1) = (cosA/(1 + sinA))^2`


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


If x = a cos θ and y = b sin θ, then b2x2 + a2y2 =


Prove the following identity :

`cosec^4A - cosec^2A = cot^4A + cot^2A`


Prove the following identity : 

`tan^2A - tan^2B = (sin^2A - sin^2B)/(cos^2Acos^2B)`


If x = acosθ , y = bcotθ , prove that `a^2/x^2 - b^2/y^2 = 1.`


Prove that sin θ sin( 90° - θ) - cos θ cos( 90° - θ) = 0


If cosθ + sinθ = `sqrt2` cosθ, show that cosθ - sinθ = `sqrt2` sinθ.


Prove that `((1 - cos^2 θ)/cos θ)((1 - sin^2θ)/(sin θ)) = 1/(tan θ + cot θ)`


If A + B = 90°, show that sec2 A + sec2 B = sec2 A. sec2 B.


Prove that: sin4 θ + cos4θ = 1 - 2sin2θ cos2 θ.


Prove the following identities.

`(cot theta - cos theta)/(cot theta + cos theta) = ("cosec"  theta - 1)/("cosec"  theta + 1)`


If sin θ (1 + sin2 θ) = cos2 θ, then prove that cos6 θ – 4 cos4 θ + 8 cos2 θ = 4


Prove that `1/("cosec"  θ - cot θ) = "cosec"  θ + cot θ`.


Prove the following:

`sintheta/(1 + cos theta) + (1 + cos theta)/sintheta` = 2cosecθ


Prove the following:

`tanA/(1 + sec A) - tanA/(1 - sec A)` = 2cosec A


(1 + sin A)(1 – sin A) is equal to ______.


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×