If cosec - - - - a- then cos- - a2 - 1a2 - 1

For a=cosec θ+θ then a^2 1a^2+1 =(cosec θ+θ)^2 1(cosec θ+θ)^2+1 =(cosec^2 θ+2.cosec θ.θ+^2 θ) 1(cosec ^2θ+2cosec θ.θ+^2 θ)+1 =(2.cosec ...

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Relation between Trigonometric Ratios

If cosec θ ...

Question

If $c o s e c θ + cot θ = a$ , then $cos θ = \frac{a^{2} - 1}{a^{2} + 1}$

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cosec θ - \sin θ = a^{3}, \sec θ - \cos θ = b^{3}

a^{2} b^{2} (a^{2} + b^{2}) = 1

\frac{cot θ - cos θ}{cot θ + cos θ} = \frac{cosec θ - 1}{cosec θ + 1}

If $t a n^{2} θ = 1 - a^{2}$ , prove that $s e c θ + (t a n^{3} θ \times c o s e c θ) = (2 - a^{2})^{\frac{3}{2}}$ .

cos θ - sin θ = m

sec θ - cos θ = n

θ

cos θ - sin θ = a^{3}

a^{2} b^{2} (a^{2} + b^{2}) = 1

\frac{cosec θ + cot θ}{cosec θ - cot θ} = \frac{81}{49}

\frac{cos θ + sin θ}{sin θ - cos θ}

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