मराठी

Find the value of: sin2 30° + cos2 30°+ cot2 45° - Mathematics

Advertisements
Advertisements

प्रश्न

find the value of: sin2 30° + cos2 30°+ cot2 45°

बेरीज

उत्तर

sin2 30° + cos230° + cot2 45° = `(1/2)^2 + (sqrt3/2)^2 + 1^2`

= `(1)/(4) + (3)/(4) + 1`

= 2

shaalaa.com
  या प्रश्नात किंवा उत्तरात काही त्रुटी आहे का?
पाठ 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
पाठ 23 Trigonometrical Ratios of Standard Angles [Including Evaluation of an Expression Involving Trigonometric Ratios]
Exercise 23 (A) | Q 1.5 | पृष्ठ २९१

संबंधित प्रश्‍न

Evaluate the following:

2tan2 45° + cos2 30° − sin2 60°


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


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°

 sin 67° + cos 75°


Express cos 75° + cot 75° in terms of angles between 0° and 30°.


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


Prove that `cos 80^@/sin 10^@  + cos 59^@ cosec 31^@ = 2`


Evaluate:

`2/3 (cos^4 30° - sin^4 45°) - 3(sin^2 60° - sec^2 45°) + 1/4 cot^2 30°`.


Evaluate: Cosec (65 + θ) – sec (25 – θ) – tan (55 – θ) + cot (35 + θ)


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


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:

tan2 30° + tan2 45° + tan2 60°


If A = B = 45° ,
show that:
sin (A - B) = sin A cos B - cos A sin B


Prove that:

3 cosec2 60°  - 2 cot2 30°  + sec2 45°  = 0


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


Without using tables, evaluate the following sec45° sin45° - sin30° sec60°.


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


Without using table, find the value of the following:

`(sin30° - sin90° +  2cos0°)/(tan30° tan60°)` 


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


Find the value of x in the following:  2 sin3x = `sqrt(3)`


Find the value of x in the following: tan x = sin45° cos45° + sin30°


If sinθ = cosθ and 0° < θ<90°, find the value of 'θ'.


If A = 30° and B = 60°, verify that: `(sin("A" + "B"))/(cos"A" . cos"B")` = tanA + tanB


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


Find the value of the following:

(sin 90° + cos 60° + cos 45°) × (sin 30° + cos 0° – cos 45°)


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


If 2 sin 2θ = `sqrt(3)` then the value of θ is 


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


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×