# CBSE_class X time bound sample paper 4 marks Trigonometry

Students must ensure that below questions must be attempted in the limited time of 40 mins.

Else Answer sheet will not be corrected.  This is the time bound test to ensure your understanding

about the chapter and thorough revision.

Q 1. If 3x = Cosec A and 3/x = Cot A, find the value of  $3[x^2 - 1/x^2]$.

Q 2. If  6x = Sec B and 6/x = tan B , find the value of $9[x^2 - 1/ x^2]$.

Q 3. If $x.sin^3 A + y. cos^3 A = Sin A. Cos A$ and x.sin A = y.cos A show that

$x^2 + y^2 = 1$.

Q 4. If cos A / Cos B = m , Cos A / Sin B =  n show that

$(m^2 + n^2 ) cos^2 B = n^2$

Q 5. If tan A + Sin A = m  and tan A – sin A = n prove that

$(m^2 -n^2)^2 = 16 mn$

Q 6. If cosec A + cot A = p , prove that $(p^2 + 1)cos A = p^2 - 1$

Q 7. Find the value of the other trigonometric ratios if cos A = $2 m/ (m^2 +1)$

Q 8. If tan A = p/q , show that

$(p sin A - q cos A) / (p sin A + q cos A) = (p^2 - q^2 )/ (p^2 + q ^2)$

Q 9. If tan B = a/b , find the value of

( a Sin B + b cos B)/ (a sin B – b cos B)

Q 10. if $x = a. cos^3 A , y = b. sin ^3 A$

Prove that  $[ x / a ]^2/3 + [ y/b ]^2/3 = 1$

Note : Ensure methods to be written clearly. Marks given for method shown also.

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