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Mar Dionysius Senior Sec. School Rishi Valley, Mallappally, Kerala, India-689534 Paper : x mat Trigonometry Q.1 If Q.2 , find the values of sin and tan in terms of x. (Marks : 2 ) From the figure, find the value of (Marks : 3 ) Q.3 If 5tan = 4, show that (Marks : 3 ) Q.4 If tan = If tan =2+ , find the values of other t - ratios (Marks : 3 ) Q.5 Q.6 , show that sin cos = (Marks : 3 ) With the help of the figure, find the value of tan (Marks : 3 ) Q.7 Verify that (Marks : 3 ) Q.8 Q.9 Prove the following identity: (sin + cosec )2 + (cos + sec )2 = 7 + tan2 + cot2 Prove the following identity: (Marks : 3 ) Q.10 Prove the following identity (Marks : 3 ) Q.11 Prove the following identity: Evaluate without using trigonometric tables, (Marks : 3 ) (Marks : 3 ) Q.12 If x = asec + btan , y = atan + bsec , prove that x2 - y2 = a2 - b2 B) Evaluate without using the trigonometric tables: (Marks : 3 ) Q.13 With the help of the figure, find the value of tanA - sinB + cosA (Marks : 5 ) Q.14 From the figure, find the value of (cosec2y - cot2y) (Marks : 6 ) Q.15 Prove the following identity sin2 cos2 OR (Marks :6) Q.16 In figure, AD = DB and B is a right angle. Determine sin2 (Marks : 6 ) + cos2