1 mark questions |

Q. 1 Write the value of sin 62 ^{0} sin 28^{0} – cos62^{0} cos 28^{0} |

Q. 2 Write cot A in terms of sin A. |

Q. 3 Express sec79 ^{0} + cot 61^{0} in terms of trigonometrical ratios of angles between 0^{0}and 45^{0} . |

Q. 4 If 3tanθ = 4 , then write the value of tan θ + cot θ . |

Q. 5 If sinq – cos θ = 0 , 0 ^{0} <θ < 90^{0} , then write the value of 'θ ' . |

Q. 6 If 'q ' , then write the value of sin θ + cos 2θ . |

Q. 7 Write the value of sin2 74 ^{0} + sin2 16^{0} . |

Q. 8 In Δ ABC, ∠B = 90^{0} and sin C = 4/5 , what is the value of cos A? |

Q. 9 If A and B are acute angles and sin A = cos B , than write the value of A+B. |

Q. 10 Write the value of tan2 30 ^{0} + sec2 45^{0} . |

Q. 11 Write the value of 9 cos ec^{2}62^{0} – 9 tan^{2} 28^{0} . |

Q. 12 If sin q = 1/2, write the value of sin q – cos ec θ . |

Q. 13 What is the value of cos ^{2}49^{0} – sin^{2} 41^{0} ? |

Q. 14 If q = 45 ^{0} , then what is the value of 2cos ec^{2}θ + 3sec^{2}q ? |

Q. 15 Write the value of sin ( 90 ^{0} –q ) cos q + cos(90^{0} – q) Sinq |

Q. 16 If tan (3 x –15^{0} ) =1, than write the value of 'x'. |

Q. 17 In Δ ABC, write tan (A+ B)/2 in terms of angle 'C'. |

Q. 18 If q = 30 ^{0} , then write the value of 1 – tan^{2} 2q . |

Q. 19 If tanq + cotq = 3, then what is the value of tan ^{2}θ + cot^{2}θ ? |

Q 20 Write the value of cot (35 ^{0 }+q ) – tan (55^{0} – q ) |

2/3 marks questions |

Q. 21 If sin 2q = cos (q – 36) ^{0}, 2θ and (q – 36^{0}) are acute angles. Find the value of 'q ' . |

Q. 22 If tan (32 ^{0} +q ) = cotq , θ and (32^{0} +q ) are acute angles, find the value of 'q '. |

Q. 23 If sin ( A+ B) =1 and cos(A – B) = √3 /2 , 0^{0} ≤ ( A+ B) ≤ 90^{0} , A > B, then find the values of A and B. |

Q. 24 If q = 30 ^{0} , then find the value of (1– tan^{2}q)/(1+ tan^{2}q) |

Q. 25 If tan q = √2 –1, then find the value of (2 tanq) /(1+ tan ^{2}q) |

Q. 26 If q = 30 ^{0} , then verify : cos 3q = 4cos^{3}q – cosq . |

Q. 27 Simplify: tan ^{2} 60^{0} + 4cos^{2} 45^{0} + 3sec^{2} 30^{0} + 5cos^{2} 90^{0} |

Q. 28 Find the value of :- |

(sin 62 ^{0})/ cos 28 + 2 (tan 73^{0})/ cot17^{0 }– (2sin 28 .sec62^{0 })/(cot17^{0} 7sec 32^{0} – 7cot 58^{0}) |

Q. 29 find the value of |

(11 sin 70 ^{0} ) / ( 7 cos20^{0} ) – (4/7) [(cos53^{0} .cos 37^{0}) / (tan15^{0} .tan35^{0} tan55^{0} tan75^{0}) |

Q. 30 Find the value of :- |

3(sin ^{2} 74^{0} sin^{2}16 )/( 4sin 62^{0} .sec28^{0}) + 3(tan^{2} 28^{0} – cosec ^{2}62^{0} )/ tan 25^{0} .tan 35^{0}tan 55^{0} tan 65^{0}) |

## Tuesday, 27 September 2011

### CBSE Maths X Ch-6 : Trigonometry Identities

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