English
Maharashtra State BoardSSC (English Medium) 10th Standard

If tan θ × A = sin θ, then A = ?

Advertisements
Advertisements

Question

If tan θ × A = sin θ, then A = ?

Sum
Advertisements

Solution

tan θ × A = sin θ   ...[Given]

∴ `(sin θ)/(cos θ) xx A = sin θ`

∴`1/(cos θ) xx A = 1`

∴ A = cos θ

shaalaa.com
  Is there an error in this question or solution?
Chapter 6: Trigonometry - Exercise

RELATED QUESTIONS

Evaluate without using trigonometric tables:

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


Prove the following trigonometric identities:

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


`Prove the following trigonometric identities.

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


Prove the following trigonometric identities.

`(tan^3 theta)/(1 + tan^2 theta) + (cot^3 theta)/(1 + cot^2 theta) = sec theta cosec theta - 2 sin theta cos theta`


Prove the following trigonometric identities

If x = a sec θ + b tan θ and y = a tan θ + b sec θ, prove that x2 − y2 = a2 − b2


Prove the following identities:

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


Prove the following identities:

`(cosecA - 1)/(cosecA + 1) = (cosA/(1 + sinA))^2`


Prove the following identities:

`sqrt((1 + sinA)/(1 - sinA)) = cosA/(1 - sinA)`


Prove that:

(sin A + cos A) (sec A + cosec A) = 2 + sec A cosec A


Show that none of the following is an identity: 

`sin^2 theta + sin theta = 2`


What is the value of \[\frac{\tan^2 \theta - \sec^2 \theta}{\cot^2 \theta - {cosec}^2 \theta}\]


Prove the following identity : 

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


Prove the following identities:

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


Prove the following identity : 

`(sinA - sinB)/(cosA + cosB) + (cosA - cosB)/(sinA + sinB) = 0`


Find A if tan 2A = cot (A-24°).


Evaluate:
`(tan 65°)/(cot 25°)`


If A = 60°, B = 30° verify that tan( A - B) = `(tan A - tan B)/(1 + tan A. tan B)`.


If x sin3θ + y cos3 θ = sin θ cos θ  and x sin θ = y cos θ , then show that x2 + y2 = 1.


Prove that `[(1 + sin theta - cos theta)/(1 + sin theta + cos theta)]^2 = (1 - cos theta)/(1 + cos theta)`


If sinθ = `11/61`, then find the value of cosθ using the trigonometric identity.


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×