मराठी

If X = a Sin θ and Y = Bcos θ , Write the Value Of`(B^2 X^2 + A^2 Y^2)` - Mathematics

Advertisements
Advertisements

प्रश्न

If x =  a sin θ and y = bcos θ , write the value of`(b^2 x^2 + a^2 y^2)`

उत्तर

`(b^2 x^2 + a^2 y^2)`

=`b^2 (a sin theta )^2 + a^2 ( bcos theta)^2`

=`b^2 a^2 sin^2 theta + a^2 b^2 cos^2 theta`

=`a^2 b^2 ( sin^2 theta + cos ^2 theta)`

=`a^2 b^2 (1)`

=`a^2 b^2`

shaalaa.com
  या प्रश्नात किंवा उत्तरात काही त्रुटी आहे का?
पाठ 8: Trigonometric Identities - Exercises 3

APPEARS IN

आर एस अग्रवाल Mathematics [English] Class 10
पाठ 8 Trigonometric Identities
Exercises 3 | Q 34

संबंधित प्रश्‍न

Prove the following trigonometric identities.

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


Prove the following trigonometric identities.

`[tan θ + 1/cos θ]^2 + [tan θ - 1/cos θ]^2 = 2((1 + sin^2 θ)/(1 - sin^2 θ))`


Prove the following trigonometric identities.

`(tan A + tan B)/(cot A + cot B) = tan A tan B`


Prove the following identities:

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


Prove that:

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


If `(cot theta ) = m and ( sec theta - cos theta) = n " prove that " (m^2 n)(2/3) - (mn^2)(2/3)=1`


`If sin theta = cos( theta - 45° ),where   theta   " is   acute, find the value of "theta` .


If \[\sin \theta = \frac{1}{3}\] then find the value of 2cot2 θ + 2. 


If cosec θ = 2x and \[5\left( x^2 - \frac{1}{x^2} \right)\] \[2\left( x^2 - \frac{1}{x^2} \right)\] 


Prove the following identity :

`(1 - tanA)^2 + (1 + tanA)^2 = 2sec^2A`


Prove the following identity :

`(cotA + tanB)/(cotB + tanA) = cotAtanB`


Prove the following identity : 

`(cos^3A + sin^3A)/(cosA + sinA) + (cos^3A - sin^3A)/(cosA - sinA) = 2`


Without using trigonometric table , evaluate : 

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


Without using trigonometric identity , show that :

`tan10^circ tan20^circ tan30^circ tan70^circ tan80^circ = 1/sqrt(3)`


`(sin A)/(1 + cos A) + (1 + cos A)/(sin A)` = 2 cosec A


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


If (sin α + cosec α)2 + (cos α + sec α)2 = k + tan2α + cot2α, then the value of k is equal to


If cos θ = `24/25`, then sin θ = ?


Prove that sec2θ − cos2θ = tan2θ + sin2θ


Proved that `(1 + secA)/secA = (sin^2A)/(1 - cos A)`.


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×