Write the Value of `( 1- Sin ^2 Theta ) Sec^2 Theta.` - Mathematics

प्रश्न

Write the value of $(1 - \sin^{2} θ) \sec^{2} θ .$

उत्तर

$(1 - \sin^{2} θ) \sec^{2} θ$

= $\cos^{2} θ \times \frac{1}{\cos^{2} θ}$

shaalaa.com

Trigonometric Identities

क्या इस प्रश्न या उत्तर में कोई त्रुटि है?

Q 1 Q 15 Q 2

अध्याय 8: Trigonometric Identities - Exercises 3

APPEARS IN

आरएस अग्रवाल Mathematics [English] Class 10

अध्याय 8 Trigonometric Identities
Exercises 3 | Q 1

वीडियो ट्यूटोरियलVIEW ALL [6]

view
वीडियो ट्यूटोरियल For All Subjects
Trigonometric Identities

video tutorial00:40:06
Trigonometric Identities

video tutorial01:01:09
Trigonometric Identities

video tutorial00:24:13
Trigonometric Identities

video tutorial01:05:02
Trigonometric Identities

video tutorial00:18:42
Trigonometric Identities

video tutorial00:27:17

संबंधित प्रश्न

Prove the following trigonometric identities:

(i) (1 – sin²θ) sec²θ = 1

(ii) cos²θ (1 + tan²θ) = 1

Prove that (1 + cot θ – cosec θ)(1+ tan θ + sec θ) = 2

Prove the following trigonometric identities. $\frac{1 - \cos A}{1 + \cos A} = {(\cot A - \cos e c A)}^{2}$

Prove the following trigonometric identities.

if $T_{n} = \sin^{n} θ + \cos^{n} θ$ , prove that $\frac{T_{3} - T_{5}}{T_{1}} = \frac{T_{5} - T_{7}}{T_{3}}$

Prove the following trigonometric identities.

$\cot^{2} A \cos e c^{2} B - \cot^{2} B \cos e c^{2} A = \cot^{2} A - \cot^{2} B$

Prove the following trigonometric identities.

if x = a cos^3 theta, y = b sin^3 theta $prove that$ (x/a)^(2/3) + (y/b)^(2/3) = 1`

Prove the following identities:

$\frac{1 + \sin A}{\cos A} + \frac{\cos A}{1 + \sin A} = 2 \sec A$

Prove the following identities:

$\frac{1 - \sin A}{1 + \sin A} = {(\sec A - \tan A)}^{2}$

If x = a cos θ and y = b cot θ, show that:

$\frac{a^{2}}{x^{2}} - \frac{b^{2}}{y^{2}} = 1$

$\cot^{2} θ - \frac{1}{\sin^{2} θ} = - 1$ a

Show that none of the following is an identity:

$\tan^{2} θ + \sin θ = \cos^{2} θ$

9 sec² A − 9 tan² A is equal to

Prove the following identity :

$\frac{\sec A - 1}{\sec A + 1} = \frac{1 - \cos A}{1 + \cos A}$

Prove the following identity :

$\sqrt{\frac{1 + \sin q}{1 - \sin q}} + \sqrt{\frac{1 - \sin q}{1 + \sin q}}$ = 2secq

Prove the following identities: sec²θ + cosec²θ = sec²θ cosec²θ.

sin⁴A – cos⁴A = 1 – 2cos²A. For proof of this complete the activity given below.

Activity:

L.H.S = $□$

= (sin²A + cos²A) $(□)$

= $1 (□)$ ..... $[\sin^{2} A + □ = 1]$

= $□$ – cos²A .....[sin²A = 1 – cos²A]

= $□$

= R.H.S

Prove that

$\frac{\cot A + cosec A - 1}{\cot A - cosec A + 1} = \frac{1 + \cos A}{sin A}$

Prove that $\frac{\cot A - \cos A}{\cot A + \cos A} = \frac{\cos^{2} A}{{(1 + \sin A)}^{2}}$

Write the Value of $(1 - {Sin}^{2} Θ) {Sec}^{2} Θ .$ - Mathematics

Advertisements

Advertisements

प्रश्न

उत्तर

APPEARS IN

वीडियो ट्यूटोरियलVIEW ALL [6]

संबंधित प्रश्न

Select a course

Write the Value of (1-Sin2Θ)Sec2Θ. - Mathematics

Advertisements

Advertisements

प्रश्न

उत्तरShow Solution

APPEARS IN

वीडियो ट्यूटोरियलVIEW ALL [6]

संबंधित प्रश्न

Select a course

Write the Value of $(1 - {Sin}^{2} Θ) {Sec}^{2} Θ .$ - Mathematics

उत्तर