What is A in terms of sin A-

We know that, A = cos A/sin A Apply the trigonometric identity, sin^2A+cos^2A amp;=1 cos^2A amp;=1 sin^2A cos nbsp;A amp;=√(1 sin^2A) Subsititute the ...

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Standard X

Mathematics

Introduction to Trigonometry

What is A in ...

Question

What is $cot A$ in terms of $sin A$ ?

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Solution

We know that, $cot A = \frac{cos A}{sin A}$

Apply the trigonometric identity,
$\begin{matrix} {sin}^{2} A + {cos}^{2} A & = 1 {cos}^{2} A & = 1 - {sin}^{2} A cos A & = \sqrt{1 - {sin}^{2} A} \end{matrix}$

Subsititute the value of cos A in $cot A = \frac{cos A}{sin A}$
$cot A = \frac{\sqrt{1 - {sin}^{2} A}}{sin A}$

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What is cotA in terms of sinA?

We know that, cotA=cosAsinA Apply the trigonometric identity, sin2A+cos2A=1cos2A=1−sin2AcosA=√1−sin2A Subsititute the value of cos A in cotA=cosAsinA cotA=√1−sin2AsinA

What is $cot A$ in terms of $sin A$ ?