Show that :
2 (cos460∘+sin430∘) - (tan260∘+cot245∘) + 3 sec230∘=4/5
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Answer:
2(cos
4
60
∘
+sin
4
30
∘
)−(tan
2
60
∘
+cot
2
45
∘
)+3sec
2
30
∘
=[(
2
1
)
4
+(
2
1
)
4
]−[(
3
)
2
+(1)
2
]+3(
3
2
)
2
=(
16
1
+
16
1
)−(3+1)+3×
3
4
=2×
8
1
−4+4=
4
1
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