मराठी
तामिळनाडू बोर्ड ऑफ सेकेंडरी एज्युकेशनएचएससी विज्ञान इयत्ता ११

Find all the angles between 0° and 360° which satisfy the equation sin2θ = 34 - Mathematics

Advertisements
Advertisements

प्रश्न

Find all the angles between 0° and 360° which satisfy the equation sin2θ = `3/4`

बेरीज

उत्तर

sin2θ = `3/4`

⇒ sin θ = `+- sqrt(3)/2`

sin 60° = `sqrt(3)/2`

sin 120° = sin(180° – 60°)

= sin 60° 

= `sqrt(3)/2`

∴ θ = 60° and 120°

shaalaa.com
Trigonometric Functions and Their Properties
  या प्रश्नात किंवा उत्तरात काही त्रुटी आहे का?
पाठ 3: Trigonometry - Exercise 3.3 [पृष्ठ १०४]

APPEARS IN

सामाचीर कलवी Mathematics - Volume 1 and 2 [English] Class 11 TN Board
पाठ 3 Trigonometry
Exercise 3.3 | Q 5 | पृष्ठ १०४

संबंधित प्रश्‍न

Find the values of `sin (-(11pi)/3)`


Find the value of the trigonometric functions for the following:
cos θ = `- 2/3`, θ lies in the IV quadrant


If sin x = `15/17` and cos y = `12/13, 0 < x < pi/2, 0 < y < pi/2`, find the value of tan(x + y)


Find the value of cos 105°.


Prove that sin(30° + θ) + cos(60° + θ) = cos θ


Find the value of cos 2A, A lies in the first quadrant, when cos A = `15/17`


Prove that cos 5θ = 16 cos5θ – 20 cos3θ + 5 cos θ


Prove that `tan (pi/4 + theta) - tan(pi/4 - theta)` = 2 tan 2θ


Express the following as a product
sin 75° sin 35°


Express the following as a product
sin 50° + sin 40°


Show that sin 12° sin 48° sin 54° = `1/8`


Show that `cos  pi/15  cos  (2pi)/15  cos  (3pi)/15  cos  (4pi)/15  cos  (5pi)/15  cos  (6pi)/15  cos  (7pi)/15 = 1/128`


Show that `(sin 8x cos x - sin 6x cos 3x)/(cos 2x cos x - sin 3x sin 4x)` = tan 2x


Show that `((cos theta -cos 3theta)(sin 8theta + sin 2theta))/((sin 5theta - sin theta) (cos 4theta - cos 6theta))` = 1


Prove that 1 + cos 2x + cos 4x + cos 6x = 4 cos x cos 2x cos 3x


Prove that `sin  theta/2 sin  (7theta)/2 + sin  (3theta)/2 sin  (11theta)/2` =  sin 2θ sin 5θ


Prove that `(sin x + sin 3x + sin 5x + sin 7x)/(cos x + cos x + cos 5x  cos 7x)` = tan 4x


If A + B + C = 180°, prove that sin2A + sin2B − sin2C = 2 sin A sin B cos C


If ∆ABC is a right triangle and if ∠A = `pi/2` then prove that sinB + sinC = 1


Choose the correct alternative:
If cos 28° + sin 28° = k3, then cos 17° is equal to


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×