Sin 30° / cos 45° + tan 45° /sec 60°-sin60°/cos 45° - cos 30° /Sin 90°
Answers
Answered by
0
Answer:
Step-by-step explanation:
(cos0
o
+sin45
o
+sin30
o
)(sin90
o
−cos45
o
+cos60
o
)
=(1+
2
1
+
2
1
)(1−
2
1
+
2
1
)
=(1+
2
1
+
2
1
)(1+
2
1
−
2
1
)
=(
2
3
+
2
1
)(
2
3
−
2
1
)
=(
2
3
)
2
−(
2
1
)
2
=
4
9
−
2
1
=
4
7
Answered by
1
Step-by-step explanation:
sin 30° = 1/2
cos45° = 1/√2
tan45°=1
sec60° = 2
sin60° = √3/2
cos30° = √3/2
sim90° = 1
putting above values in the eqn we have
(1/2)/(1/√2) + 1/2 - (√3/2)/(1/√2) - (√3/2)/1
= (√2/2) + 1/2 - √6/2 - √3/2
= (√2 + 1 - √6 - √3)/2
= (√2 + 1 -√2*√3 - √3)/2
(√2 + 1 -√3(√2 + 1))/2
(√2 + 1)(1 - √3)/2
= - (√2 + 1)(√3 - 1)/2
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