If sin A = x, then what is the value of tanA in terms of x?
If sin A = x, then what is the value of tanA in terms of x?
यदि sin A = x, तो tan A का मान x के संदर्भ में क्या हैं?
Detailed Solution & Logic
Correct Answer:
$\frac{x}{\sqrt(1-x^2)}$
Given:
$\sin A = x$
Using identity:
$\sin^2 A + \cos^2 A = 1$
So,
$\cos^2 A = 1 - \sin^2 A$
$= 1 - x^2$
$\cos A = \sqrt{1 - x^2}$
Now,
$\tan A = \frac{\sin A}{\cos A}$
$= \frac{x}{\sqrt{1 - x^2}}$
Final Answer:
$\frac{x}{\sqrt{1 - x^2}}$ ✅
Similar Practice Questions
If A + B = \(90^\circ\), and sin A =\(\frac{5}{13}\), then what is cos B?
If A + B = \(90^\circ\), and sin A =\(\frac{5}{13}\), then what is cos B?...
If an angle is \(10^\circ\) more than twice its complement, what is the angle?
If an angle is \(10^\circ\) more than twice its complement, what is the angle? अगर...
What is the area of the segment formed by a chord in a circle of radius 10 cm, if the angle subtended at the center is 90\(^\circ\) ?
What is the area of the segment formed by a chord in a circle of...
If tan A = 3/4, find sin A.
If tan A = 3/4, find sin A. यदि tan A = \(\frac{3}{4} \), तो...
The Incenter of a tringle is located at (3,4). The length of the altitude from the Incenter to side AB is 2 units. What is the radius of the triangle ‘s incircle?
The Incenter of a tringle is located at (3,4). The length of the altitude from...
If $ \frac{x}{y} = cot \theta $, where $\theta $ is an acute angle, then $ cosec \theta $ = _________.
If $ \frac{x}{y} = cot \theta $, where $\theta $ is an acute angle, then...
The sum of the interior angles of a regular polygon is six times the sum of its exterior angles. Determine the number of diagonals in the polygon.
The sum of the interior angles of a regular polygon is six times the sum...