English
Maharashtra State BoardSSC (English Medium) 10th Standard

In ΔABC, ∠ABC = 90° and ∠ACB = θ. Then write the ratios of sin θ and tan θ from the figure. - Geometry Mathematics 2

Advertisements
Advertisements

Question

In ΔABC, ∠ABC = 90° and ∠ACB = θ. Then write the ratios of sin θ and tan θ from the figure.

Sum
Advertisements

Solution

sin θ = `("AB")/("AC")` and tan θ = `("AB")/("BC")`

shaalaa.com
  Is there an error in this question or solution?
2025-2026 (March) Model set 1 by shaalaa.com

RELATED QUESTIONS

 In Given Figure, find tan P – cot R.


If sin A = `3/4`, calculate cos A and tan A.


In ΔPQR, right angled at Q, PR + QR = 25 cm and PQ = 5 cm. Determine the values of sin P, cos P and tan P.


State whether the following are true or false. Justify your answer.

sec A = `12/5` for some value of angle A.


State whether the following are true or false. Justify your answer.

cot A is the product of cot and A.


If tan θ = `a/b` prove that `(a sin theta - b cos theta)/(a sin theta + b cos theta) = (a^2 - b^2)/(a^2 + b^2)`


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

cos 60° cos 45° - sin 60° ∙ sin 45°


Evaluate the following

`2 sin^2 30^2 - 3 cos^2 45^2 + tan^2 60^@`


Evaluate the Following

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


Find the value of x in the following :

`2sin 3x = sqrt3`


Find the value of x in each of the following :

cos x = cos 60º cos 30º + sin 60º sin 30º


Find the value of x in the following :

cos 2x = cos 60° cos 30° + sin 60° sin 30°


If cos A = `4/5`, then the value of tan A is ______.


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


A ladder rests against a vertical wall at an inclination α to the horizontal. Its foot is pulled away from the wall through a distance p so that its upper end slides a distance q down the wall and then the ladder makes an angle β to the horizontal. Show that `p/q = (cos β - cos α)/(sin α - sin β)`


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


If sec θ = `1/2`, what will be the value of cos θ?


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×