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

Choose the Correct Alternative: - Geometry Mathematics 2

Advertisements
Advertisements

प्रश्न

Choose the correct alternative:

1 + tan2 θ = ?

पर्याय

  • Sin2 θ

  • Sec2 θ

  • Cosec2 θ 

  • Cot2 θ

MCQ

उत्तर

sec2θ

Explanation:

1 + tan2θ = sec2θ

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

APPEARS IN

संबंधित प्रश्‍न

`"If "\frac{\cos \alpha }{\cos \beta }=m\text{ and }\frac{\cos \alpha }{\sin \beta }=n " show that " (m^2 + n^2 ) cos^2 β = n^2`

 


Prove the following trigonometric identities.

(sec2 θ − 1) (cosec2 θ − 1) = 1


`Prove the following trigonometric identities.

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


Prove the following trigonometric identities

sec4 A(1 − sin4 A) − 2 tan2 A = 1


Prove the following identities:

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


Prove the following identities:

`(1 - sinA)/(1 + sinA) = (secA - tanA)^2`


If x = r cos A cos B, y = r cos A sin B and z = r sin A, show that : x2 + y2 + z2 = r2


Show that : tan 10° tan 15° tan 75° tan 80° = 1


`(1+ cos theta)(1- costheta )(1+cos^2 theta)=1`


Write the value of `(1 - cos^2 theta ) cosec^2 theta`.


Write the value of `(sin^2 theta 1/(1+tan^2 theta))`. 


What is the value of \[6 \tan^2 \theta - \frac{6}{\cos^2 \theta}\]


 Write True' or False' and justify your answer the following :

The value of the expression \[\sin {80}^° - \cos {80}^°\] 


Prove the following identity :

`cosA/(1 + sinA) = secA - tanA`


Prove that `(tan θ)/(cot(90° - θ)) + (sec (90° - θ) sin (90° - θ))/(cosθ. cosec θ) = 2`.


Prove that `(tan θ + sin θ)/(tan θ - sin θ) = (sec θ + 1)/(sec θ - 1)`


Prove the following identities.

sec4 θ (1 – sin4 θ) – 2 tan2 θ = 1


If 5x = sec θ and `5/x` = tan θ, then `x^2 - 1/x^2` is equal to 


If cos 9α = sinα and 9α < 90°, then the value of tan5α is ______.


Prove that (sec θ + tan θ) (1 – sin θ) = cos θ


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×