Find the expressions that are not equivalent to 1.

s i n^{3} ϕ + c o s^{3} ϕ

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s i n^{2} θ + c o s^{2} ϕ

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c o s e c^{2} ϕ - c o t^{2} ϕ

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\frac{1 + c o t^{2} A}{c o s e c^{2} A}

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Solution

The correct option is B $s i n^{3} ϕ + c o s^{3} ϕ$
Use trigonmetry formule

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Similar questions

\frac{(c o s A - s i n A + 1)}{(c o s A + s i n A - 1)} = c o s e c A + c o t A

c o s e c^{2} A = 1 + c o t^{2} A

c o s e c^{2} A - c o t^{2} A

\frac{c o s A - s i n A + 1}{c o s A + s i n - 1} = c o s e c A + c o t A,

c o s e c^{2} A = 1 + c o t^{2} A

Prove that

Cot²A × cosec²A - cot²B × cosec² B = cot²A - cot² B

3 - c o t^{2} A + c o s e c^{2} A

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