मराठी
महाराष्ट्र राज्य शिक्षण मंडळएस.एस.सी (इंग्रजी माध्यम) इयत्ता १० वी

Choose the correct alternative: cos 45° = ? - Geometry Mathematics 2

Advertisements
Advertisements

प्रश्न

Choose the correct alternative:

cos 45° = ?

पर्याय

  • sin 45°

  • sec 45°

  • cot 45°

  • tan 45°

MCQ

उत्तर

sin 45°

cos 45° = `1/sqrt2`, sin 45° = `1/sqrt2`

∴ cos 45° = sin 45°.

shaalaa.com
  या प्रश्नात किंवा उत्तरात काही त्रुटी आहे का?
पाठ 6: Trigonometry - Q.1 (A)

संबंधित प्रश्‍न

Prove the identity (sin θ + cos θ)(tan θ + cot θ) = sec θ + cosec θ.


Evaluate without using trigonometric tables:

`cos^2 26^@ + cos 64^@ sin 26^@ + (tan 36^@)/(cot 54^@)`


Prove the following trigonometric identities.

`1/(1 + sin A) + 1/(1 - sin A) =  2sec^2 A`


Prove the following trigonometric identities.

sec6θ = tan6θ + 3 tan2θ sec2θ + 1


Prove that:

`tanA/(1 - cotA) + cotA/(1 - tanA) = secA cosecA + 1`


Show that : `sinA/sin(90^circ - A) + cosA/cos(90^circ - A) = sec A cosec A`


Show that : `sinAcosA - (sinAcos(90^circ - A)cosA)/sec(90^circ - A) - (cosAsin(90^circ - A)sinA)/(cosec(90^circ - A)) = 0`


If `(cot theta ) = m and ( sec theta - cos theta) = n " prove that " (m^2 n)(2/3) - (mn^2)(2/3)=1`


Prove the following identity :

`sec^2A.cosec^2A = tan^2A + cot^2A + 2`


Prove the following identity : 

`((1 + tan^2A)cotA)/(cosec^2A) = tanA`


If tanA + sinA = m and tanA - sinA = n , prove that (`m^2 - n^2)^2` = 16mn 


Without using trigonometric table , evaluate : 

`(sin47^circ/cos43^circ)^2 - 4cos^2 45^circ + (cos43^circ/sin47^circ)^2`


Without using trigonometric identity , show that :

`sin42^circ sec48^circ + cos42^circ cosec48^circ = 2`


If sec θ = `25/7`, then find the value of tan θ.


A moving boat is observed from the top of a 150 m high cliff moving away from the cliff. The angle of depression of the boat changes from 60° to 45° in 2 minutes. Find the speed of the boat in m/min.


Prove that `(sin (90° - θ))/cos θ + (tan (90° - θ))/cot θ + (cosec (90° - θ))/sec θ = 3`.


If A + B = 90°, show that sec2 A + sec2 B = sec2 A. sec2 B.


Prove that:
`(cos^3 θ + sin^3 θ)/(cos θ + sin θ) + (cos^3 θ - sin^3 θ)/(cos θ - sin θ) = 2`


Prove that (1 – cos2A) . sec2B + tan2B(1 – sin2A) = sin2A + tan2B


If cos (α + β) = 0, then sin (α – β) can be reduced to ______.


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×