Question

Sin45×Sec60×tan60×cos45​

Answer 1

Answer:

We know that,

sin30

∘

=

2

1

,sin60

∘

=

2

3

,sin90

∘

=1

cos30

∘

=

2

3

,cos45

∘

=

2

1

,cos60

∘

=

2

1

sec60

∘

=2,tan45

∘

=1 and cot45

∘

=1

Now,

sin45

∘

sin30

∘

+

sec60

∘

tan45

∘

−

cot45

∘

sin60

∘

−

sin90

∘

cos30

∘

=

(

2

1

)

(

2

1

)

+

2

1

−

1

2

3

−

1

2

3

=

2

2

+

2

1

−

2

3

−

2

3

=

2

2

+1−2

3

Answer 2

sin45 x sec60 x tan60 x cos45

=1/root2 x 2 x 1 x 1/root2

=1/2 x 2

=1