Question
Mathematics Question on Trigonometric Identities
If α and β are two acute angles of a right triangle, then (sinα+sinβ)2+(cosα+cosβ)2=
A
1+sin2α
B
2(1+sin2α)
C
1+cos2α
D
2(1+2cos2α)
E
2+sin2α
Answer
2(1+sin2α)
Explanation
Solution
The correct option is (B) : 2(1+sin2α)