हिंदी

Find the value of: tan2 30° + tan2 45° + tan2 60° - Mathematics

Advertisements
Advertisements

प्रश्न

Find the value of:

tan2 30° + tan2 45° + tan2 60°

योग

उत्तर

tan2 30° + tan2 45° + tan2 60° = `(1/sqrt3)^2 + 1^2 + (sqrt3)^2`

= `(1)/(3) + 1+ 3`

= `(13)/(3)`

= `4(1)/(3)`

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 2.1 | पृष्ठ २९१

संबंधित प्रश्न

If tan (A + B) = `sqrt3` and tan (A – B) = `1/sqrt3`; 0° < A + B ≤ 90°; A > B, find A and B.


Evaluate the following:

`(sin 30° +  tan 45° –  cosec  60°)/(sec 30° +  cos 60° +  cot 45°)`


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

The value of sinθ increases as θ increases.


Evaluate the following :

`(sin 21^@)/(cos 69^@)`


Express each one of the following in terms of trigonometric ratios of angles lying between 0° and 45°

tan 65° + cot 49°


Express each one of the following in terms of trigonometric ratios of angles lying between 0° and 45°

cos 78° + sec 78°


Express each one of the following in terms of trigonometric ratios of angles lying between 0° and 45°

cot 85° + cos 75°


If Sin 3A = cos (A – 26°), where 3A is an acute angle, find the value of A =?


Prove the following

`(tan (90 - A) cot A)/(cosec^2 A)   - cos^2 A =0`


Evaluate: `(2sin 68)/cos 22 - (2 cot 15^@)/(5 tan 75^@) - (8 tan 45^@ tan 20^@ tan 40^@ tan 50^@ tan 70^@)/5`


Evaluate: `cos 58^@/sin 32^@  + sin 22^@/cos 68^@  - (cos 38^@ cosec 52^@)/(tan 18^@ tan 35^@ tan 60^@ tan 72^@ tan 65^@)`


Express each of the following in terms of trigonometric ratios of angles lying between 0° and 45°.

sec78° + cosec56°


Express each of the following in terms of trigonometric ratios of angles lying between 0° and 45°.

cosec54° + sin72°


If cos 20 = sin 4 θ ,where 2 θ and 4 θ are acute angles, then find the value of θ


find the value of :

3sin2 30° + 2tan2 60° - 5cos2 45°


Prove that:

cos2 30°  - sin2 30° = cos 60°


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


Evaluate : 

`(3 sin 3"B" + 2 cos(2"B" + 5°))/(2 cos 3"B" – sin (2"B" – 10°)` ; when "B" = 20°.


If A = 30°;
show that:
(sinA - cosA)2 = 1 - sin2A


Without using tables, evaluate the following: cosec330° cos60° tan345° sin290° sec245° cot30°.


Without using tables, find the value of the following: `(4)/(cot^2 30°) + (1)/(sin^2 60°) - cos^2 45°`


Prove that: sin60°. cos30° - sin60°. sin30° = `(1)/(2)`


Find the value of x in the following: `sqrt(3)sin x` = cos x


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


If tan(A - B) = `(1)/sqrt(3)` and tan(A + B) = `sqrt(3)`, find A and B.


If sin 30° = x and cos 60° = y, then x2 + y2 is


The value of `(1 - tan^2 45^circ)/(1 + tan^2 45^circ)` is


`(2/3 sin 0^circ - 4/5 cos 0^circ)` is equal to ______.


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×