if 4-sin2 45°/cot x × tan 60° =35 then the value of x
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Answer:
trignometric functions sin60
0
=
2
3
, tan30
0
=
3
1
, sin45
0
=
2
1
and cos45
0
=
2
1
, therefore, the value of 4sin
2
60
0
+3tan
2
30
0
−8sin45
0
cos45
0
is:
4sin
2
60
0
+3tan
2
30
0
−8sin45
0
cos45
0
=4×(
2
3
)
2
+3×(
3
1
)
2
−(8×
2
1
×
2
1
)
=(4×
4
3
)+(3×
3
1
)−
2
8
=3+1−4=0
Hence, 4sin
2
60
0
+3tan
2
30
0
−8sin45
0
cos45
0
=0.
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