Math, asked by aryafbb, 4 months ago

evaluate Cos A. Cos (90-A)-Sin A .Sin (90-A)​

Answers

Answered by ajathasatru80
1

Answer:

The given expression is

\cos A \cos (90^{\circ}-A)-\sin A \sin(90^{\circ}-A)cosAcos(90

−A)−sinAsin(90

−A)

We need to find the value of given expression.

We know that

\cos (90^{\circ}-\theta)=\sin \thetacos(90

−θ)=sinθ

\sin (90^{\circ}-\theta)=\cos \thetasin(90

−θ)=cosθ

Using these formulas the given expression can be written as

\cos A \sin A-\sin A \cos AcosAsinA−sinAcosA

00

Therefore, the value of given expression is 0.

#Learn more

Evaluate:

sina cosa - (sina cos(90-a)cosa/sec(90 -a)) - (cosa sin(90-a)sina/cosec(90-a)

Answered by likhitha08
1

Answer:

The value of given expression is 0.

Step-by-step explanation:

The given expression is

\cos A \cos (90^{\circ}-A)-\sin A \sin(90^{\circ}-A)cosAcos(90

−A)−sinAsin(90

−A)

We need to find the value of given expression.

We know that

\cos (90^{\circ}-\theta)=\sin \thetacos(90

−θ)=sinθ

\sin (90^{\circ}-\theta)=\cos \thetasin(90

−θ)=cosθ

Using these formulas the given expression can be written as

\cos A \sin A-\sin A \cos AcosAsinA−sinAcosA

00

Therefore, the value of given expression is 0.

#Learn more

Evaluate:

sina cosa - (sina cos(90-a)cosa/sec(90 -a)) - (cosa sin(90-a)sina/cosec(90-a))

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