हिंदी

9 Sec2 a − 9 Tan2 a is Equal to - Mathematics

Advertisements
Advertisements

प्रश्न

9 sec2 A − 9 tan2 A is equal to

विकल्प

  • 1

  • 9

  • 8

  • 0

MCQ

उत्तर

Given:

`9 sec^2 A-9 tan^2 A`

`=9 (sec^2 A-tan^2 A)`

We know that, `sec^2 A-tan^2 A=1`

Therefore, `9 sec^2 A-9 tan^2 A=9`

shaalaa.com
  क्या इस प्रश्न या उत्तर में कोई त्रुटि है?
अध्याय 11: Trigonometric Identities - Exercise 11.4 [पृष्ठ ५८]

APPEARS IN

आरडी शर्मा Mathematics [English] Class 10
अध्याय 11 Trigonometric Identities
Exercise 11.4 | Q 25 | पृष्ठ ५८

संबंधित प्रश्न

 

If `sec alpha=2/sqrt3`  , then find the value of `(1-cosecalpha)/(1+cosecalpha)` where α is in IV quadrant.

 

Prove the following trigonometric identities.

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


Prove the following identities:

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


If `cosA/cosB = m` and `cosA/sinB = n`, show that : (m2 + n2) cos2 B = n2.


Prove the following identities:

`sinA/(1 - cosA) - cotA = cosecA`


If `( cosec theta + cot theta ) =m and ( cosec theta - cot theta ) = n, ` show that mn = 1.


Prove that:

`"tan A"/(1 + "tan"^2 "A")^2 + "Cot A"/(1 + "Cot"^2 "A")^2 = "sin A cos A"`.


What is the value of (1 − cos2 θ) cosec2 θ? 


If \[\cos A = \frac{7}{25}\]  find the value of tan A + cot A. 


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


Prove the following identity : 

`sin^2Acos^2B - cos^2Asin^2B = sin^2A - sin^2B`


If `x/(a cosθ) = y/(b sinθ)   "and"  (ax)/cosθ - (by)/sinθ = a^2 - b^2 , "prove that"  x^2/a^2 + y^2/b^2 = 1`


If sinA + cosA = m and secA + cosecA = n , prove that n(m2 - 1) = 2m


Prove that the following identities:
Sec A( 1 + sin A)( sec A - tan A) = 1.


Prove the following identities.

`(sin "A" - sin "B")/(cos "A" + cos "B") + (cos "A" - cos "B")/(sin "A" + sin "B")`


If tan θ × A = sin θ, then A = ?


Prove that sec2θ − cos2θ = tan2θ + sin2θ


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


Prove that sec2θ – cos2θ = tan2θ + sin2θ


If 1 + sin2θ = 3sinθ cosθ, then prove that tanθ = 1 or `1/2`.


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×