मराठी

9 sec2 A − 9 tan2 A = ______. - Mathematics

Advertisements
Advertisements

प्रश्न

9 sec2 A − 9 tan2 A = ______.

पर्याय

  • 1

  • 9

  • 8

  • 0

MCQ
रिकाम्या जागा भरा
Advertisements

उत्तर

9 sec2 A − 9 tan2 A = 9.

Explanation:

9 sec2A − 9 tan2A

= 9 (sec2A − tan2A)

= 9 (1)           ...[As sec2 A − tan2 A = 1]

= 9

Hence, alternative 9 is correct.

shaalaa.com
  या प्रश्नात किंवा उत्तरात काही त्रुटी आहे का?
पाठ 8: Introduction to Trigonometry - Exercise 8.4 [पृष्ठ १९३]

APPEARS IN

एनसीईआरटी Mathematics [English] Class 10
पाठ 8 Introduction to Trigonometry
Exercise 8.4 | Q 4.1 | पृष्ठ १९३

संबंधित प्रश्‍न

Prove the following identities:

`(i) (sinθ + cosecθ)^2 + (cosθ + secθ)^2 = 7 + tan^2 θ + cot^2 θ`

`(ii) (sinθ + secθ)^2 + (cosθ + cosecθ)^2 = (1 + secθ cosecθ)^2`

`(iii) sec^4 θ– sec^2 θ = tan^4 θ + tan^2 θ`


Prove the following trigonometric identity:

`sqrt((1 + sin A)/(1 - sin A)) = sec A + tan A`


If sin θ + cos θ = x, prove that  `sin^6 theta + cos^6 theta = (4- 3(x^2 - 1)^2)/4`


Prove the following identities:

cot2 A – cos2 A = cos2 A . cot2 A


` tan^2 theta - 1/( cos^2 theta )=-1`


If `sqrt(3) sin theta = cos theta  and theta ` is an acute angle, find the value of θ .


`If sin theta = cos( theta - 45° ),where   theta   " is   acute, find the value of "theta` .


Find the value of ` ( sin 50°)/(cos 40°)+ (cosec 40°)/(sec 50°) - 4 cos 50°   cosec 40 °`


If cosec2 θ (1 + cos θ) (1 − cos θ) = λ, then find the value of λ. 


If sec θ + tan θ = x, then sec θ =


If x = r sin θ cos ϕ, y = r sin θ sin ϕ and z = r cos θ, then 


Prove the following identity :

`sec^2A.cosec^2A = tan^2A + cot^2A + 2`


Find the value of sin 30° + cos 60°.


Choose the correct alternative:

1 + tan2 θ = ?


If A = 30°, verify that `sin 2A = (2 tan A)/(1 + tan^2 A)`.


Without using the trigonometric table, prove that
cos 1°cos 2°cos 3° ....cos 180° = 0.


Prove the following identities.

sec4 θ (1 – sin4 θ) – 2 tan2 θ = 1


If (sin α + cosec α)2 + (cos α + sec α)2 = k + tan2α + cot2α, then the value of k is equal to


If cos 9α = sinα and 9α < 90°, then the value of tan5α is ______.


Proved that `(1 + secA)/secA = (sin^2A)/(1 - cos A)`.


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×