Question

If sec theta=2 then find all trigonometric ratio​

Answer 1

Answer:

hey mate here is urs answer

Answer 2

Step-by-step explanation:

We know that

secθ=

base

hypotenuse

secθ=

1

2

⇒

B

H

=

1

2

⇒

BC

AC

=

1

2

let BC=1k and AC=2k

where k is any positive integer

In right angled △ABC,we have

(AB)

2

+(1k)

2

=(2k)

2

⇒(AB)

2

+(k)

2

=4k

2

⇒(AB)

2

=4k

2

−k

2

=3k

2

⇒AB=k

3

(By Pythagoras theorem)

Now, we have to find the value of other trigonometric ratios

we know that

sinθ=

hypotenuse

Perpendicular

=

AC

AB

=

2k

k

3

=

2

3

cosθ=

hypotenuse

Base

=

AC

BC

=

2k

1k

=

2

1

tanθ=

Base

Perpendicular

=

BC

AB

=

k

k

3

=

1

3

=

3

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