हिंदी

The value of 2sinθ can be a+1a, where a is a positive number, and a ≠ 1. - Mathematics

Advertisements
Advertisements

प्रश्न

The value of 2sinθ can be `a + 1/a`, where a is a positive number, and a ≠ 1.

विकल्प

  • True

  • False

MCQ
सत्य या असत्य
Advertisements

उत्तर

This statement is False.

Explanation:

Let a = 2, then `a + 1/a = 2 + 1/2 = 5/2`

If 2sinθ = `a + 1/a`, then a

2sinθ = `5/2`

⇒ sinθ =  `5/4` = 1.25

Which is not possible   ...[∵ sin θ ≤ 1]

shaalaa.com
  क्या इस प्रश्न या उत्तर में कोई त्रुटि है?
अध्याय 8: Introduction To Trigonometry and Its Applications - Exercise 8.2 [पृष्ठ ९३]

APPEARS IN

एनसीईआरटी एक्झांप्लर Mathematics [English] Class 10
अध्याय 8 Introduction To Trigonometry and Its Applications
Exercise 8.2 | Q 9 | पृष्ठ ९३

संबंधित प्रश्न

Evaluate without using trigonometric tables:

`cos^2 26^@ + cos 64^@ sin 26^@ + (tan 36^@)/(cot 54^@)`


Prove the following trigonometric identities

`cos theta/(1 - sin theta) = (1 + sin theta)/cos theta`


Prove the following trigonometric identities.

`(1 - sin θ)/(1 + sin θ) = (sec θ - tan θ)^2`


Prove the following trigonometric identities.

`1/(1 + sin A) + 1/(1 - sin A) =  2sec^2 A`


Prove the following trigonometric identities.

`(1 + cos A)/sin A = sin A/(1 - cos A)`


`Prove the following trigonometric identities.

`(sec A - tan A)^2 = (1 - sin A)/(1 +  sin A)`


Prove the following trigonometric identities.

`(cos theta - sin theta + 1)/(cos theta + sin theta - 1) = cosec theta  + cot theta`


Prove the following identities:

sec2A + cosec2A = sec2A . cosec2A


Prove that:

`(sinA - sinB)/(cosA + cosB) + (cosA - cosB)/(sinA + sinB) = 0`


Prove the following identities:

`sqrt((1 - cosA)/(1 + cosA)) = sinA/(1 + cosA)`


If sec A + tan A = p, show that:

`sin A = (p^2 - 1)/(p^2 + 1)`


From the figure find the value of sinθ.


Prove the following identity :

tanA+cotA=secAcosecA 


Find x , if `cos(2x - 6) = cos^2 30^circ - cos^2 60^circ`


Prove that :(sinθ+cosecθ)2+(cosθ+ secθ)2 = 7 + tan2 θ+cotθ.


If A + B = 90°, show that `(sin B + cos A)/sin A = 2tan B + tan A.`


Prove the following identities.

tan4 θ + tan2 θ = sec4 θ – sec2 θ


If 1 + sin2α = 3 sinα cosα, then values of cot α are ______.


Prove the following:

(sin α + cos α)(tan α + cot α) = sec α + cosec α


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


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×