Q. 574.2( 6 Votes )

# If cos y = x cos (a + y), where prove that

Answer :

Here,

cos y = x cos (a + y), where cos a

Differentiating both sides with respect to x, we get

Multiplying the numerator and the denominator by cos(a+y) on th RHS we have,

[Given cos y = x cos (a + y)]

[ sin(a-b)=sina cosb - cosa sinb]

Hence Proved.

Rate this question :

If then is equal to

Mathematics - ExemplarDifferentiate each of the following w.r.t. x

Mathematics - Exemplar

Differentiate each of the following w.r.t. x

Mathematics - Exemplar

Differentiate each of the following w.r.t. x

Mathematics - Exemplar

Differentiate the following functions with respect to x:

e^{tan 3x}

Differentiate each of the following w.r.t. x

Mathematics - Exemplar

Differentiate each of the following w.r.t. x

Mathematics - Exemplar

Differentiate the following functions with respect to x:

log(cosec x – cot x)

RD Sharma - Volume 1Differentiate the following functions with respect to x:

RD Sharma - Volume 1

Differentiate each of the following w.r.t. x

(x + 1)^{2} (x + 2)^{3} (x + 3)^{4}