Page 1 1. co n a b m s si si s n, a b n co 2 2 2 2 m n a b If and prove that, Sol: We have = + = = = = Hence, 2. n x a s e c bta n , y a b s e c ta If and prove that 2 2 2 2 x y a b . Sol: We have = Page 2 1. co n a b m s si si s n, a b n co 2 2 2 2 m n a b If and prove that, Sol: We have = + = = = = Hence, 2. n x a s e c bta n , y a b s e c ta If and prove that 2 2 2 2 x y a b . Sol: We have = - = = = = Hence, 3. If sin cos 1 x y a b and cos sin 1, x y a b prove that 2 2 2 2 2. x y a b Sol: We have Squaring both side, we have: Again, Now, adding (i) and (ii), we get: 4. If sec tan mand sec tan , n show that 1. m n Sol: We have Again, Now, multiplying (i) and (ii), we get: Page 3 1. co n a b m s si si s n, a b n co 2 2 2 2 m n a b If and prove that, Sol: We have = + = = = = Hence, 2. n x a s e c bta n , y a b s e c ta If and prove that 2 2 2 2 x y a b . Sol: We have = - = = = = Hence, 3. If sin cos 1 x y a b and cos sin 1, x y a b prove that 2 2 2 2 2. x y a b Sol: We have Squaring both side, we have: Again, Now, adding (i) and (ii), we get: 4. If sec tan mand sec tan , n show that 1. m n Sol: We have Again, Now, multiplying (i) and (ii), we get: = = =1 5. If cos cot e c mand sec cot , c o n show that 1. m n Sol: We have = = 6. If 3 cos x a and 3 sin , y b prove that 2 2 3 3 1. x y a b Sol: = = = = = 1 7. If tan sin mand tan sin , n prove that 2 2 2 16 . m n m n Sol: = = = = = Page 4 1. co n a b m s si si s n, a b n co 2 2 2 2 m n a b If and prove that, Sol: We have = + = = = = Hence, 2. n x a s e c bta n , y a b s e c ta If and prove that 2 2 2 2 x y a b . Sol: We have = - = = = = Hence, 3. If sin cos 1 x y a b and cos sin 1, x y a b prove that 2 2 2 2 2. x y a b Sol: We have Squaring both side, we have: Again, Now, adding (i) and (ii), we get: 4. If sec tan mand sec tan , n show that 1. m n Sol: We have Again, Now, multiplying (i) and (ii), we get: = = =1 5. If cos cot e c mand sec cot , c o n show that 1. m n Sol: We have = = 6. If 3 cos x a and 3 sin , y b prove that 2 2 3 3 1. x y a b Sol: = = = = = 1 7. If tan sin mand tan sin , n prove that 2 2 2 16 . m n m n Sol: = = = = = = = = = = s = = = 8. If cot tan mand sec cos n prove that 2 2 2 2 3 3 ( ) ( ) 1 m n m n Sol: Now, = = = = = = = = = = = = = Page 5 1. co n a b m s si si s n, a b n co 2 2 2 2 m n a b If and prove that, Sol: We have = + = = = = Hence, 2. n x a s e c bta n , y a b s e c ta If and prove that 2 2 2 2 x y a b . Sol: We have = - = = = = Hence, 3. If sin cos 1 x y a b and cos sin 1, x y a b prove that 2 2 2 2 2. x y a b Sol: We have Squaring both side, we have: Again, Now, adding (i) and (ii), we get: 4. If sec tan mand sec tan , n show that 1. m n Sol: We have Again, Now, multiplying (i) and (ii), we get: = = =1 5. If cos cot e c mand sec cot , c o n show that 1. m n Sol: We have = = 6. If 3 cos x a and 3 sin , y b prove that 2 2 3 3 1. x y a b Sol: = = = = = 1 7. If tan sin mand tan sin , n prove that 2 2 2 16 . m n m n Sol: = = = = = = = = = = s = = = 8. If cot tan mand sec cos n prove that 2 2 2 2 3 3 ( ) ( ) 1 m n m n Sol: Now, = = = = = = = = = = = = = = = RHS Hence proved. 9. If 3 3 (cos sin ) (sec cos ) , e c a a n d b prove that 2 2 2 2 ( ) 1 a b a b Sol: = = 2 3 1 3 cos a= sin = = = = = = = = = RHS Hence, proved. 10. If 2sin 3cos 2, prove that 3sin 2cos 3. Sol: = = = 4+9 = 13Read More

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