Question

What is the value of sin 7pi/ 2

Answer 1

We know that,

sin

(

3

π

+

θ

)

=

−

sin

θ

Here,

sin

(

7

π

2

)

=

sin

(

6

π

+

π

2

)

=

sin

(

3

π

+

π

2

)

...

→

I

I

I

r

d

Q

u

a

d

r

a

n

t

,

w

h

e

r

e

,

sin

i

s

−

v

e

=

−

sin

(

π

2

)

=

−

1

Note:

(

1

)

θ

=

π

2

,

5

π

2

,

9

π

2

,

13

π

2

...

⇒

sin

θ

=

1

(

2

)

θ

=

3

π

2

,

7

π

2

,

11

π

2

,

15

π

2

...

⇒

sin

θ

=

−

1