हिंदी

ABC is an isosceles right-angled triangle. Assuming of AB = BC = x, find the value of each of the following trigonometric ratios: tan 45° - Mathematics

Advertisements
Advertisements

प्रश्न

ABC is an isosceles right-angled triangle. Assuming of AB = BC = x, find the value of each of the following trigonometric ratios: tan 45°

योग

उत्तर

Given that AB = BC = x

∴ AC = `sqrt(AB^2+BC^2) = sqrt(x^2 + x^2) = xsqrt2`

tan 45°  = `"AB"/"BC" = x/x =1`

shaalaa.com
  क्या इस प्रश्न या उत्तर में कोई त्रुटि है?
अध्याय 23: Trigonometrical Ratios of Standard Angles [Including Evaluation of an Expression Involving Trigonometric Ratios] - Exercise 23 (A) [पृष्ठ २९१]

APPEARS IN

सेलिना Concise Mathematics [English] Class 9 ICSE
अध्याय 23 Trigonometrical Ratios of Standard Angles [Including Evaluation of an Expression Involving Trigonometric Ratios]
Exercise 23 (A) | Q 5.3 | पृष्ठ २९१

संबंधित प्रश्न

Find the value of θ in each of the following :

(i) 2 sin 2θ = √3      (ii) 2 cos 3θ = 1


If θ is an acute angle and sin θ = cos θ, find the value of 2 tan2 θ + sin2 θ – 1


Evaluate the following in the simplest form: sin 60º cos 45º + cos 60º sin 45º


`(2 tan 30°)/(1+tan^2 30°)` = ______.


sin 2A = 2 sin A is true when A = ______.


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

The value of sinθ increases as θ increases.


Evaluate the following:

`(sin 20^@)/(cos 70^@)`


Evaluate the following :

`(sec 70^@)/(cosec 20^@) + (sin 59^@)/(cos 31^@)`


Evaluate the following :

cosec 31° − sec 59°


Evaluate the following :

(sin 72° + cos 18°) (sin 72° − cos 18°)


Evaluate the following :

sin 35° sin 55° − cos 35° cos 55°


Prove the following :

`(cos(90°−A) sin(90°−A))/tan(90°−A) - sin^2 A = 0`


Evaluate: `(3 cos 55^@)/(7 sin 35^@) -  (4(cos 70 cosec 20^@))/(7(tan 5^@ tan 25^@ tan 45^@ tan 65^@ tan  85^@))`


find the value of :

`( tan 45°)/ (cos ec30°) +( sec60°)/(co 45°) – (5 sin 90°)/ (2 cos 0°)`


prove that:

tan (2 x 30°) = `(2 tan 30°)/(1– tan^2 30°)`


If sec A = cosec A and 0° ∠A ∠90°, state the value of A


If tan θ = cot θ and 0°∠θ ∠90°, state the value of θ


secθ . Cot θ= cosecθ ; write true or false


Given A = 60° and B = 30°,
prove that : cos (A + B) = cos A cos B - sin A sin B


If A =30o, then prove that :
sin 3A = 3 sin A - 4 sin3A.


Without using tables, evaluate the following: sin60° sin30°+ cos30° cos60°


Without using tables, evaluate the following: (sin90° + sin45° + sin30°)(sin90° - cos45° + cos60°).


Without using tables, find the value of the following: `(tan45°)/("cosec"30°) + (sec60°)/(cot45°) - (5sin90°)/(2cos0°)`


If A = 30° and B = 60°, verify that: sin (A + B) = sin A cos B + cos A sin B


If A = 30° and B = 60°, verify that: `(sin("A" -"B"))/(sin"A" . sin"B")` = cotB - cotA


The value of cos1°. cos2°. cos3°. cos4°....................... cos90° is ______.


If sin α = `1/2`, then find the value of (3 cos α – 4 cos3 α).


Find the value of x if `2 "cosec"^2 30 + x sin^2 60 - 3/4 tan^2 30` = 10


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×