Question:
What is tan2a equal to?
What is tan2a equal to?
Options:
- a) () () pq pq+
- b) ()pq p + 2
- c) p pq() + 2
- d) p pq()2 + Direction for Questions (14-15): Consider the following for the two (02) times that follow: Let 2sin a + cos a = 2, where 0 < a < 90°
- a) () () pq pq+
- b) ()pq p + 2
- c) p pq() + 2
- d) p pq()2 + Direction for Questions (14-15): Consider the following for the two (02) times that follow: Let 2sin a + cos a = 2, where 0 < a < 90°
correct answer : c)
Explanation:
p
pq q
p
+ =
+
=
+2
1
1 2
1
1 2
2tan ·tanαα
= sin ·sin
sin ·sinc os ·co sc os ·co s
αα
αα αα αα
2
222++
= sin ·sin
co sc os ·co s
αα
αα α
2
2+
=
sin · sin ·co s
co s ·· co s
αα α
αα
2
2 2
= tan2a.
p
pq q
p
+ =
+
=
+2
1
1 2
1
1 2
2tan ·tanαα
= sin ·sin
sin ·sinc os ·co sc os ·co s
αα
αα αα αα
2
222++
= sin ·sin
co sc os ·co s
αα
αα α
2
2+
=
sin · sin ·co s
co s ·· co s
αα α
αα
2
2 2
= tan2a.