SOLUTION: simplify 3 cos2(α) + 4 sin2(α) + 1 + sin2(−α)

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Question 1076037: simplify
3 cos2(α) + 4 sin2(α) + 1 + sin2(−α)
Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!

3cos%5E2%28alpha%29+%2B+4sin%5E2%28alpha%29+%2B+1+%2B+sin%5E2%28-alpha%29......since cos%5E2%28alpha%29=1-sin%5E2%28alpha%29 and sin%5E2%28-alpha%29=sin%5E2%28alpha%29, we have
3%281-sin%5E2%28alpha%29%29+%2B+4sin%5E2%28alpha%29+%2B+1+%2B+sin%5E2%28alpha%29
3-3sin%5E2%28alpha%29+%2B+4sin%5E2%28alpha%29+%2B+1+%2B+sin%5E2%28alpha%29
3%2B+sin%5E2%28alpha%29+%2B+1+%2B+sin%5E2%28alpha%29
4%2B+2sin%5E2%28alpha%29
2%282%2B+sin%5E2%28alpha%29%29