Question

5 cos^ 2 60^ +4 sec^ 2 30^ -tan^ 2 45^ / sin^ 2 30^ +cos^ 2 30^​

Answer 1

Answer:sin30

∘

=1/2⇒sin

2

30

∘

=1/4

cos45

∘

=1/

2

​

=sin45

∘

cot45

∘

=1⇒cot

2

45

∘

=1

cos60

∘

=1/2⇒sec60

∘

=2⇒sec

2

60

∘

=4

cos30

∘

=

3

​

/2⇒sec30

∘

=2/

3

​

⇒sec

2

30

∘

=4/3

cosec45

∘

=1/sin45

∘

=

2

​

⇒cosec

2

45

∘

=2

(sin

2

30

∘

+4cot45

∘

−sec

2

60

∘

)(cosec

2

45

∘

sec

2

30

∘

)

=[(

2

1

​

)

2

+4×(1)

2

−(2)

2

][(

2

​

)

2

×(

3

​

2

​

)

2

]

=1/4×8/3

=2/3.

Step-by-step explanation: