-65- If-sin-sin-2-1-find the value of-cos-12-3cos-10-3cos-8-cos-6-6cos-4-6cos-2-sin-2-sin-

Implicit Differentiation

65. If sinθ+s...

Question

{ 65. If }\operatorname{sin}θ+\operatorname{sin}^2θ=1, find the value of }\operatorname{cos}^{12}θ+3\operatorname{cos}^{10}θ}{+3\operatorname{cos}^8θ+\operatorname{cos}^6θ+6\operatorname{cos}^4θ+6\operatorname{cos}^2θ+\operatorname{sin}^2θ+\operatorname{sin}θ

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c o s \frac{π}{33} \cdot c o s \frac{2 π}{65} \cdot \frac{4 π}{65} \cdot c o s \frac{8 π}{65} \cdot c o s \frac{16 π}{65} \cdot c o s \frac{32 π}{65}

H C F

65

117

(65 m - 117)

m

If HCF of 65 and 117 can be expressed in the form 65m+117n, find the value of m and n.

f (x) = x^{4} + 10 x^{3} + 39 x^{2} + 76 x + 65

f (x - 4)

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