Find the value of : cos²60° +Sec²30° +tan
²45°
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Answers
Answered by
0
Answer:
5cos
2
60+4sec
2
30−tan
2
45
⇒
(
2
1
)
2
+(
2
3
)
2
5(
2
1
)
2
+4(
3
2
)
2
−(1)
2
⇒
4
1
+
4
3
4
5
+
3
16
−1
⇒
4
4
4
5
+
3
16
−1
⇒
12
3+64
=
12
67
.
Answered by
2
EXPLANATION.
Value of : cos²60° + sec²30° + tan²45°.
As we know that,
⇒ cos(60°) = 1/2.
⇒ sec(30°) = 2/(√3).
⇒ tan(45°) = 1.
Using this formula in the equation, we get.
⇒ (1/2)² + (2/√3)² + (1)².
⇒ (1/4) + (4/3) + 1.
⇒ (3 + 16 + 12)/(12).
⇒ 31/12.
⇒ cos²60° + sec²30° + tan²45° = 31/12.
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