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11th Standard English Medium Maths Subject Trigonometry Book Back 2 Mark Questions with Solution Part - II

11th Standard

    Reg.No. :
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Maths

Time : 01:00:00 Hrs
Total Marks : 20

    2 Marks

    10 x 2 = 20
  1. If \(\triangle ABC\) is a right triangle and if \(\angle A=\frac{\pi}{2}\), then prove that \(\cos^2B+\cos^2C=1\)

  2. Find the values of other five trigonometric functions for the following
    sin \(\theta\) = -\(\frac { 2 }{ 3 },\) \(\theta\) = lies in the IV quadrant

  3. Prove that \(\sin { 4\alpha } =4\tan { \alpha } \frac { 1-\tan ^{ 2 }{ \alpha } }{ { \left( 1+\tan ^{ 2 }{ \alpha } \right) }^{ 2 } } \)

  4. Express each of the following as a sum or difference. sin 4x cos 2x

  5. Express each of the following as a product.
    cos 65o + cos 15o

  6. Find the value of sin 1500.

  7. Find the values of cos 150.

  8. Simplify: cos A + cos (120° + A) + cos (120° - A)

  9. Find the values of \(sin(-\frac{11\pi}{3})\).

  10. Find the values of other five trigonometric functions for the following
    tan \(\theta\) = -2\(\theta\) lies in the II quadrant

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