If sec A + tan A = P, then what is sec A in terms of P?
If sec A + tan A = P, then what is sec A in terms of P?
यदि secA + tanA =P, तो p के संदर्भ में secA क्या है?
Detailed Solution & Logic
Correct Answer:
$\frac{{P}^2 +1}{2p}$
दी गई जानकारी:
$ \sec A + \tan A = P $
Step 1:
हम जानते हैं:
$ (\sec A + \tan A)(\sec A - \tan A) = 1 $
तो,
$ \sec A - \tan A = \frac{1}{P} $
Step 2: दोनों समीकरण जोड़ें:
$ (\sec A + \tan A) + (\sec A - \tan A) = P + \frac{1}{P} $
$ 2\sec A = P + \frac{1}{P} $
Step 3:
$ \sec A = \frac{1}{2}\left(P + \frac{1}{P}\right) $
इसे सरल करें:
$ \sec A = \frac{P^2 + 1}{2P} $
सही उत्तर:
$ \frac{P^2 + 1}{2p} $ ✅
Similar Practice Questions
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...
Three points P, Q, R, and S are located on the circumference of a circle. If angle RPS = $ 30^\circ and \angle PQS = 40^\circ deg , what is the measure of \PRS?
Three points P, Q, R, and S are located on the circumference of a circle....
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...
If sin A = 0.6, What is the value of tan A?
If sin A = 0.6, What is the value of tanA? यदि sin A =...
A regular polygon has interior angle \(160^\circ\) How many sides does it have?
A regular polygon has interior angle \(160^\circ\) How many sides does it have? एक समबहुभुज...
A triangle with sides 5cm, 12cm, and 13 cm has an inradius of 2 cm. What is its area?
A triangle with sides 5cm, 12cm, and 13 cm has an inradius of 2 cm....
Convert \(3^\circ\) to radians
Convert \(3^\circ\) to radians \(3^\circ\) को रेडियन में बदलें.