मराठी

Evaluate the following: 2tan2 45° + cos2 30° − sin2 60° - Mathematics

Advertisements
Advertisements

प्रश्न

Evaluate the following:

2tan2 45° + cos2 30° − sin2 60°

बेरीज

उत्तर

2tan2 45° + cos2 30° − sin2 60°

= `2(1)^2 + ((sqrt3)/2)^2 - ((sqrt3)/2)^2`

= `2(1)^2 + (sqrt3/2)^2 - ((sqrt3)/2)^2`

= `2+3/4 - 3/4`

= 2

shaalaa.com
  या प्रश्नात किंवा उत्तरात काही त्रुटी आहे का?
पाठ 8: Introduction to Trigonometry - Exercise 8.2 [पृष्ठ १८७]

APPEARS IN

एनसीईआरटी Mathematics [English] Class 10
पाठ 8 Introduction to Trigonometry
Exercise 8.2 | Q 1.2 | पृष्ठ १८७

व्हिडिओ ट्यूटोरियलVIEW ALL [2]

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:

`(cos 45°)/(sec 30° + cosec  30°)`


Evaluate cos 48° − sin 42°


Evaluate the following:

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


Evaluate the following :

`tan 10^@/cot 80^@`


Evaluate the following :

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


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°

cosec 54° + sin 72°


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

 sin 67° + cos 75°


If `sqrt3` = 1.732, find (correct to two decimal place)  the value of sin 60o


find the value of: tan 30° tan 60°


find the value of: cos2 60° + sin2 30°


find the value of :

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


Prove that:

cos 30° . cos 60° - sin 30° . sin 60°  = 0


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


Prove that:

4 (sin4 30° + cos4 60°) -3 (cos2 45° - sin2 90°) = 2


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


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


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


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


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×