Question

if sin theta = 3/5 and cos theta = 4/5, then find tan theta and cot theta​

Answer 1

Answer:

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Answer 2

Answer:

Recall the quotient identity

tan

x

=

sin

x

cos

x

tan

θ

=

sin

x

cos

x

tan

θ

=

3

5

4

5

tan

θ

=

3

5

×

5

4

tan

θ

=

3

4

Note you could have also said that

sin

θ

=

opposite

hypotenuse

,

cos

θ

=

adjacent

hypotenuse

and

tan

θ

=

opposite

adjacent

.

If we know that

sin

θ

=

3

5

, the side opposite

θ

measures 3.

If we know that

cos

θ

=

4

5

, the side adjacent

θ

metres 4.

Applying the definition of

tan

θ

=

opposite

adjacent

, we have that

tan

θ

=

3

4

Hopefully this helps!