मराठी

Write the Value of `4 Tan^2 Theta - 4/ Cos^2 Theta`

Advertisements
Advertisements

प्रश्न

Write the value of `4 tan^2 theta  - 4/ cos^2 theta`

Advertisements

उत्तर

4 `tan^2 theta -  4 / cos^2 theta`

     =` 4 tan^2 theta - 4 sec^2 theta`

     =`4 (tan^2 theta - sec^2 theta )`

     =4(-1)

      = -4

    

shaalaa.com
  या प्रश्नात किंवा उत्तरात काही त्रुटी आहे का?
पाठ 13: Trigonometric identities - Exercises 3

APPEARS IN

आर. एस. अग्रवाल Mathematics [English] Class 10
पाठ 13 Trigonometric identities
Exercises 3 | Q 14

संबंधित प्रश्‍न

Prove the following trigonometric identities.

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


Prove the following trigonometric identities.

`(1 - tan^2 A)/(cot^2 A -1) = tan^2 A`


Prove the following trigonometric identities.

(sec A + tan A − 1) (sec A − tan A + 1) = 2 tan A


If a cos θ + b sin θ = m and a sin θ – b cos θ = n, prove that a2 + b2 = m2 + n2


Prove the following identities:

cot2 A – cos2 A = cos2 A . cot2 A


Prove the following identities:

`(1 + sinA)/cosA + cosA/(1 + sinA) = 2secA`


`sin theta/((cot theta + cosec  theta)) - sin theta /( (cot theta - cosec  theta)) =2`


Show that none of the following is an identity:
(i) `cos^2theta + cos theta =1`


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


\[\frac{x^2 - 1}{2x}\] is equal to 


The value of sin2 29° + sin2 61° is


If x = r sin θ cos ϕ, y = r sin θ sin ϕ and z = r cos θ, then 


Prove the following identity : 

`cosecA + cotA = 1/(cosecA - cotA)`


Prove that tan2Φ + cot2Φ + 2 = sec2Φ.cosec2Φ.


Proved that cosec2(90° - θ) - tan2 θ = cos2(90° - θ)  +  cos2 θ.


To prove cot θ + tan θ = cosec θ × sec θ, complete the activity given below.

Activity:

L.H.S. = `square`

= `square/(sinθ) + (sinθ)/(cosθ)`

= `(cos^2θ + sin^2θ)/square`

= `1/(sinθ.cosθ)`   ...`[cos^2θ + sin^2θ = square]`

= `1/(sinθ) xx 1/square`

= `square`

= R.H.S.


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


If 4 tanβ = 3, then `(4sinbeta-3cosbeta)/(4sinbeta+3cosbeta)=` ______.


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


Given that sinθ + 2cosθ = 1, then prove that 2sinθ – cosθ = 2.


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×