Question

if 4cos 0=5 ,show that 5sin theta +30cos theta /5sin theta -20 cos theta =7/2​

Answer 1

Answer:

You have to remember that your equation may need some algebraic/trigonometric manipulations before being transformed into rectangular form; for example, consider:

r

[

−

2

sin

(

θ

)

+

3

cos

(

θ

)

]

=

2

−

2

r

sin

(

θ

)

+

3

r

cos

(

θ

)

=

2

Now you use the above transformations, and get:

−

2

y

+

3

x

=

2

Which is the equation of a straight line!

A more complicated situation can be the following example:

θ

+

π

4

=

0

You can write:

θ

=

−

π

4

Take the tangent of both sides and multiply and divide by

r

the left side:

r

r

⋅

tan

(

θ

)

=

tan

(

−

π

4

)

r

sin

(

θ

)

r

cos

(

θ

)

=

−

1

Transforming you get:

y

x

=

−

1

y

=

−

x

Step-by-step explanation:

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