Algebra Quint
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1 116
By putting value...
Put A= 45°..
p = 1+1/√2
q = 1–1/√2
Now...
By option...
√16pq = p² - q²
4*1/√2 = 4*1/√2
2√2 = 2√2
L=R🫠
1 116
cotA + cosA = p
cotA - cosA = q
(cotA + cosA) (cotA - cosA) = pq
(cotA)² - (cosA)² = pq
cot²A - cos²A = pq
cos²A/sin²A - cos²A = pq
cos²A (1/sin²A - 1) = pq
cos²A (cosec²A - 1) = pq
cos²A * cot²A = pq
cot²A * cos²A = pq
(cotA + cosA)² - (cotA - cosA)² = p² - q²
√(16 cot²A cos²A) = p² - q²
√16pq = p² - q²
1 116
P²-Q²=4cotcos
PQ=cot²-cos²
=Cos²(cosec²-1)
=Cos²cot²
√PQ=Coscot
So
√16PQ=P²-Q²
C option
1 116
a⁵ = a + 4d = 108
a²⁸ = a + 27d = 250
(a + 27d)- (a+4d)= 250-108
d= 142/23
a= 1916/23
Sum= n/2[2a+(n-1)d]
16[3832/23+4402/23]
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