Question

Find the value of sin 45 sec 36

Answer 1

sin ( 90 - 45 )° sec ( 90 - 36 ) °


cos 45° cosec ° 54

Answer 2

Answer:

sin

(

45

°

+

30

°

)

=

√

2

(

√

3

+

1

)

4

Explanation:

Using the formula for the sine of the sum of two angles:

sin

(

α

+

β

)

=

sin

α

cos

β

+

cos

α

sin

β

and assuming the angles are expressed in degrees:

sin

(

45

°

+

30

°

)

=

sin

45

°

cos

30

°

+

cos

45

°

sin

30

°

sin

(

45

°

+

30

°

)

=

√

2

2

⋅

√

3

2

+

√

2

2

⋅

1

2

sin

(

45

°

+

30

°

)

=

√

2

(

√

3

+

1

)

4