Trigonometry Class 10 Extra Questions I Cbse Class 10 Maths

Trigonometry Class 10 Extra Questions

1. If tan²45⁰ – cos²30⁰ = x sin45⁰ cos45⁰, then value of x is a) ½                    b) 1              c) 2              d) 1/3
2. If 5 tan A = 4, then find the value of  (5tanA-3CosA)/(5SinA +3CosA) a) 0            b) 1             c) 1/6           d) 2/7
3. If x = a sinA  and y = a cosA  then the value of x²+ y² is____ a) a                   b) a²                 c)1                          d)  1/a
4. If 3sec A – 5 =0   then cotA  = _____   a) 5/3                       b) 4/5                  c)3/4                      d) 3/5
5. The value of (1+ cos ) (1- cos ) cosec² A =_________ a)  0                      b) 1                         c) cos²A d) sin²A
6. TRY is a right-angled isosceles triangle then cos T + cos R + cos Y is ____  a) √2                                         b) 2√2                        c) 1 + √2                   d) 1+ 1/ √2
7. The value of  is: (11/cot²A ) – (11/( cos²A) is : a) 11                       b) 0                           c) 1/11                           d) -11
8. If sin A – cos A = 0, then the value of sin⁶A + cos ⁶A is a) 2/3                          b) 1/3              c) ¾                             d) ¼
9. If sinθ + cosθ =√2  , then tanθ + cotθ = a) 1                              b) 2                              c) 3                              d) 4
10. If sin A = 1/ √2  and cos B =√3  , then find the value of cosec A + cosec B a) 2                              b) √2                            c) 2 + √2                      d) 2 – √2  

SUBJECTIVE TYPE QUESTIONS

1. If tan A + cot A = 2, then find tan²⁰A +cot²⁰A  
2. If secA  = 5/4, then evaluate: (Tan A)/(1+tan²A)
3. In a right angle triangle ABC, right angled at B, if tan A=1, then verify that 2 sin A cos A = 1
4. 6.  If tan (A-B) =  and sin A = 1, then find A and B.
5. 7. If sin A + cos A = , then prove that tan A + cot A = 1.
6. 8. If sin A + cos A = x, then show that:    tan A + cot A =
7. 9.  Prove that
8. 10. If sin (2x + 3y) = 1 and cos (2x-3y) = /2, find the values of x and y.
9. 11. If = m and = n, show that (m²+n²) cos² = n²
10. 12. Prove that (tan A –tan B)² + (1+tan A tan B)² = sec²A sec²B.
11. 13. If (cos  – sin ) =  sin , then show that cos  + sin  =  cos
12. 14. Prove that (sin  + sec )² + (cos  + cosec )² = ( 1+ sec  cosec )²
13. 15. Prove that cosec⁴ – cosec²  = cot²  + cot⁴
14. 16. If sin  + sin²  = 1 then find the value of cos² + cos⁴
15. 17. Let p = tan  + sec  then find the value of p +
16. 18. If sec A = x + 1/4x, then prove that sec A + tan A = 2x or 1/2x.
17. 19. Find an acute angle A, when
18. 20. Find the value of

1. 21. If A and B are acute angles such that sin (A-B) = 0 and 2 cos (A+B) – 1 = 0, then find angles A and B.
2. 22. Assertion: If x=2 sin²θ and y=2cos²θ+1 then the value of x+y=3.
3. Reason: For any value of θ, sin²θ+cos²θ=1
4. 23. Assertion: In a right ΔABC, right angled at B, if tanA=12/5, then secA=13/5.
5. Reason: cot A is the product of cot and A.
6. 24. Assertion: sin (A+B) = sin A + sin B
7. Reason: For any value of θ, 1+tan²θ = sec²θ 25. Assertion: If x sin³θ+y cos³θ = sin θ cos θ and x sin θ = y cos θ, then x²+y²=1.
8. Reason: For any value of θ, sin²θ+cos²θ=1

Trigonometry Class 10 Extra Questions

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Trigonometry Class 10 Extra Questions

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