If a lies from -2pi to 2pi and cos(a/2) + sin(a/2) = √2[ cos(36°) - sin(18°)] then the value of a is
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8
Answer:
Using value of sin18∘ and cos36∘
cos2α+sin2α=2
(45
+1−45
+1)
⇒cos2α+sin2α=2
/2
squaring both sides
⇒1+sinα=1/2 ⇒sinα=−1/2
Therefore general solution is, α=nπ+(−1)n67π
in [−2π,2π], the value of α is 7π/6
Step-by-step explanation:
Answered by
0
Answer:
- 7π/6 and π/6
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