हिंदी

The value of the expression (sin 80° – cos 80°) is negative.

Advertisements
Advertisements

प्रश्न

The value of the expression (sin 80° – cos 80°) is negative.

विकल्प

  • True

  • False

MCQ
सत्य या असत्य
Advertisements

उत्तर

This statement is False.

Explanation:

We know that,

sin θ increases when 0° ≤ θ ≤ 90°

cos θ decreases when 0° ≤ θ ≤ 90°

And (sin 80° – cos 80°) = (increasing value-decreasing value) which is always equal to a positive value.

∴ (sin 80° – cos 80°) > 0, which is positive ...(Not negative).

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 Exemplar [English] Class 10
अध्याय 8 Introduction To Trigonometry and Its Applications
Exercise 8.2 | Q 3 | पृष्ठ ९३

वीडियो ट्यूटोरियलVIEW ALL [2]

संबंधित प्रश्न

If ∠A and ∠B are acute angles such that cos A = cos B, then show that ∠A = ∠B.


In the following, trigonometric ratios are given. Find the values of the other trigonometric ratios.

`sin theta = 11/5`


In the following, trigonometric ratios are given. Find the values of the other trigonometric ratios.

`cosec theta = sqrt10`


If 3 cot θ = 2, find the value of  `(4sin theta - 3 cos theta)/(2 sin theta + 6cos theta)`.


If `cos θ = 12/13`, show that `sin θ (1 - tan θ) = 35/156`.


If `tan theta = 1/sqrt7`     `(cosec^2 theta - sec^2 theta)/(cosec^2 theta + sec^2 theta) = 3/4`


If sin θ = `12/13`, Find `(sin^2 θ - cos^2 θ)/(2sin θ cos θ) × 1/(tan^2 θ)`.


If Cosec A = 2 find `1/(tan A) + (sin A)/(1 + cos A)`


Evaluate the following

`sin^2 30° cos^2 45 ° + 4 tan^2 30° + 1/2 sin^2 90° − 2 cos^2 90° + 1/24 cos^2 0°`


Evaluate the Following

4(sin4 60° + cos4 30°) − 3(tan2 60° − tan2 45°) + 5 cos2 45°


Find the value of x in the following :

`2 sin  x/2 = 1`


If 4 tanθ = 3, then `((4 sintheta - costheta)/(4sintheta + costheta))` is equal to ______.


In the given figure, if sin θ = `7/13`, which angle will be θ?


If sin θ + cos θ = `sqrt(2)` then tan θ + cot θ = ______.


If cos(α + β) = `(3/5)`, sin(α – β) = `5/13` and 0 < α, β < `π/4`, then tan (2α) is equal to ______.


If b = `(3 + cot  π/8 + cot  (11π)/24 - cot  (5π)/24)`, then the value of `|bsqrt(2)|` is ______.


If sinθ = `1/sqrt(2)` and `π/2 < θ < π`. Then the value of `(sinθ + cosθ)/tanθ` is ______.


In a right triangle PQR, right angled at Q. If tan P = `sqrt(3)`, then evaluate 2 sin P cos P.


Evaluate: 5 cosec2 45° – 3 sin2 90° + 5 cos 0°.


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×