हिंदी

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

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

वीडियो ट्यूटोरियलVIEW ALL [2]

संबंधित प्रश्न

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

`sin A = 2/3`


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

`cos A = 4/5`


In the following, one of the six trigonometric ratios is given. Find the values of the other trigonometric ratios.

`tan alpha = 5/12`


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

`sec theta = 13/5`


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 `cos theta = 3/5`, find the value of `(sin theta - 1/(tan theta))/(2 tan theta)`


Evaluate the following

tan2 30° + tan2 60° + tan45°


Evaluate the Following

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


Evaluate the Following

4(sin4 30° + cos2 60°) − 3(cos2 45° − sin2 90°) − sin2 60°


Find the value of x in the following :

`sqrt3 tan 2x = cos 60^@ + sin45^@ cos 45^@`


If A and (2A – 45°) are acute angles such that sin A = cos (2A – 45°), then tan A is equal to ______.


Prove the following:

If tan A = `3/4`, then sinA cosA = `12/25`


Find the value of sin 0° + cos 0° + tan 0° + sec 0°.


Find the value of sin 45° + cos 45° + tan 45°.


What will be the value of sin 45° + `1/sqrt(2)`?


Prove that: cot θ + tan θ = cosec θ·sec θ

Proof: L.H.S. = cot θ + tan θ

= `square/square + square/square`  ......`[∵ cot θ = square/square, tan θ = square/square]`

= `(square + square)/(square xx square)`  .....`[∵ square + square = 1]`

= `1/(square xx square)`

= `1/square xx 1/square`

= cosec θ·sec θ  ......`[∵ "cosec"  θ = 1/square, sec θ = 1/square]`

= R.H.S.

∴ L.H.S. = R.H.S.

∴ cot θ + tan θ = cosec·sec θ


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


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


If θ is an acute angle of a right angled triangle, then which of the following equation is not true?


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×