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