मराठी
महाराष्ट्र राज्य शिक्षण मंडळएचएससी विज्ञान (सामान्य) इयत्ता ११ वी

Evaluate the following : cosec 45° + cot 45° + tan 0° - Mathematics and Statistics

Advertisements
Advertisements

प्रश्न

Evaluate the following : 

cosec 45° + cot 45° + tan 0°

बेरीज
Advertisements

उत्तर

We know that,

cosec 45° = `sqrt(2)`, cot 45° = 1, tan 0° = 0

cosec 45° + cot 45° + tan 0°

= `sqrt(2) + 1 + 0`

= `sqrt(2) + 1`

shaalaa.com
  या प्रश्नात किंवा उत्तरात काही त्रुटी आहे का?
पाठ 2: Trigonometry - 1 - EXERCISE 2.1 [पृष्ठ २२]

APPEARS IN

संबंधित प्रश्‍न

Evaluate the following:

sin 30° + cos 45° + tan 180°


If tanθ = `1/2`, evaluate `(2sin theta + 3cos theta)/(4cos theta + 3sin theta)`


Eliminate θ from the following: 

x = 3secθ , y = 4tanθ


Eliminate θ from the following : 

x = 6cosecθ, y = 8cotθ


Eliminate θ from the following:

2x = 3 − 4 tan θ, 3y = 5 + 3 sec θ


Find the acute angle θ such that 2 cos2θ = 3 sin θ.


Find the acute angle θ such that 5tan2θ + 3 = 9secθ.


If cosecθ + cotθ = 5, then evaluate secθ.


If cotθ = `3/4` and π < θ < `(3pi)/2` then find the value of 4cosecθ + 5cosθ.


Prove the following identities:

`(1 + tan^2 "A") + (1 + 1/tan^2"A") = 1/(sin^2 "A" - sin^4"A")`


Prove the following identities: 

(cos2A – 1) (cot2A + 1) = −1


Prove the following identities:

(sinθ + sec θ)2 + (cosθ + cosec θ)2 = (1 + cosecθ sec θ)2 


Prove the following identities:

(1 + cot θ – cosec θ)(1 + tan θ + sec θ) = 2


Prove the following identities:

`1/(sectheta + tantheta) - 1/costheta = 1/costheta - 1/(sectheta - tantheta)`


Prove the following identities:

`sintheta/(1 + costheta) + (1 + costheta)/sintheta` = 2cosecθ


Prove the following identity:

`tantheta/(sectheta - 1) = (sectheta + 1)/tantheta`


Prove the following identities:

`cottheta/("cosec"  theta - 1) = ("cosec"  theta + 1)/cot theta`


Prove the following identities:

(sec A + cos A)(sec A − cos A) = tan2A + sin2A


Prove the following identities:

`(1 - sectheta + tan theta)/(1 + sec theta - tan theta) = (sectheta + tantheta - 1)/(sectheta + tantheta + 1)`


Select the correct option from the given alternatives:

If cosecθ − cotθ = q, then the value of cot θ is


Prove the following:

`((1 + cot theta + tan theta)(sin theta - costheta)) /(sec^3theta - "cosec"^3theta)`= sin2θ cos2θ


Prove the following:

`(tan theta + 1/costheta)^2 + (tan theta - 1/costheta)^2 = 2((1 + sin^2theta)/(1 - sin^2theta))`


Prove the following:

2 sec2θ – sec4θ – 2cosec2θ + cosec4θ = cot4θ – tan4θ


Prove the following:

sin4θ +2sin2θ . cos2θ = 1 − cos4θ


Prove the following:

tan2θ − sin2θ = sin4θ sec2θ


Prove the following:

(1 + tanA · tanB)2 + (tanA − tanB)2 = sec2A · sec2B


Prove the following:

`(1 + cottheta  +  "cosec" theta)/(1 - cottheta  +  "cosec" theta) = ("cosec" theta  + cottheta - 1)/(cottheta - "cosec"theta + 1)`


Prove the following:

`(tantheta + sectheta - 1)/(tantheta + sectheta + 1) = tantheta/(sec theta + 1)`


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×