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Implicit Differentiation

If sin theta ...

Question

If sin theta =12/13 find the value of sin2 theta-cos2 theta×1/tan2 theta

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Solution

In the second step the cos²(theta) in the numerator and cos( theta) in the denominator both will be divided by cos(theta) and it will be only cos(theta) in the numerator.

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tan θ = \frac{12}{13}

, find the value of

\frac{2 sin θ cos θ}{{cos}^{2} θ - {sin}^{2} θ}

12 csc θ = 13

, find the value of

\frac{2 sin θ - 9 cos θ}{4 sin θ - 9 cos θ}

c o s θ = \frac{5}{13},

find the value of

\frac{2 s i n θ - c o s^{2} θ}{2 s i n θ c o s θ} \times \frac{1}{t a n^{2} θ}

sin θ = \frac{12}{13}

, then the value of

\frac{2 cos θ + 3 tan θ}{sin θ + tan θ sin θ}

sin θ + {sin}^{2} θ = 1,

find the value of :-

{cos}^{12} θ + 3 {cos}^{10} θ + 3 {cos}^{8} θ + {cos}^{6} θ + 2 {cos}^{4} θ + 2 {cos}^{2} θ - 2

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