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Q.1. If 2sina + 15cos ²a = 7, then find the value of cota
यदि 2sina + 15cos ²a = 7, तो cota का मान ज्ञात कीजिये ।
(A) 3/4
(B) 4/5
(C) 2/5
(D) 3/5
Q.2. If tan x + cot x = 3, then sec² x + cosec² x is equal to -
यदि tan x + cot x = 3, तो sec² x + cosec² x के बराबर है-
(A) 3
(B) 9
(C) 12
(D) 15
Q.3. What is the value of 
का मान क्या है ?
(A) 
(B) 
(C) 
(D) 1
Q.4. Find the value of sin105o + cos105o.
sin105o + cos105o का मान ज्ञात कीजिये |
(A) 
(B) 
(C) 
(D) 
Q.5. If p sin q = q cos q, then the value of 
यदि p sin q = q cos q, तो 
का मान ज्ञात कीजिये |
का मान ज्ञात कीजिये |
(A) 
(B) 
(C) 
(D) 
Q.6. 
is equal to
is equal to 
बराबर है
(A) 
(B) 
(C) 
(D) 
Q.7. The expression 
is equal to
is equal to
व्यंजक 
बराबर है
बराबर है
(A) 2sin
(B) 2tan
(C) 2sec
(D) 2cosec
Q. 8. If tanq = 
, then the value of 
.
, then the value of .
यदि tanq = 
, तो 
का मान है
, तो का मान है
(A) 
(B) 
(C) 
(D) 
Q.9. If tan (θ1 + θ2) =
and sec (θ1 – θ2) = 
then sin2θ1 + tan2θ1 =?
and sec (θ1 – θ2) = then sin2θ1 + tan2θ1 =?
यदि tan (θ1 + θ2) =
और sec (θ1 – θ2) = 
तो sin2θ1 + tan2θ1 =?
और sec (θ1 – θ2) = तो sin2θ1 + tan2θ1 =?
(A) 0
(B) 1
(C) – 1
(D) 2
Q.10. sin25o + sin26o + .... + sin284o + sin285o =?
sin25o + sin26o + .... + sin284o + sin285o =?
(A) 39
(B) 41
(C) 40
(D) 40
Answer Key:
Q1. (B): 2sina + 15cos ²a = 7
2sina + 15 - 15sin ²a = 7
15sin ²a - 2sina - 8 = 0
15sin ²a + 10sina - 12sina - 8 = 0
5sina (3sina + 2) – 4 (3sina + 2) = 0
sina = 4/5, – 2/ 3
Q2. (B) tan x + cot x = 3
tan2 x + cot2 x = 7
sec2 x + cosec2 x
= 1 + tan2 x + 1 + cot2 x
= 2 + tan2 x + cot2x = 2 + 7 = 9
Q3. (D) 
= 
=
= 
= 
= 1
Q4. (B) sin105o + cos105o = sin (60 + 45)o + cos (60 + 45)o
= sin 60o cos 45o + cos 60o sin 45o + cos 60o cos 45o – sin 60o sin 45o
= 
= 
Q5. (C) 
= 
=
= 
= 
= 
=
Q6. (A) 
= 
=
= 
= 
= 
= 
Q7. (C) 
= 
=
= 
= 
Q8. (C) tanq = 
, then sinq = 
, cosq = 
, then sinq = , cosq =
Now/अब, 
= 
=
= 
= 
=
Q9. (D) tan (θ1 + θ2) =
= tan 60o
= tan 60o
sec (θ1 – θ2) = 
= sec 30o
= sec 30o
θ1 + θ2 = 60o
θ1 – θ2 = 30o
θ1 = 45o
θ2 = 15o
sin2θ1 + tan2θ2 = sin 90o + tan 45o = 1 + 1 = 2
Q10. (D) sin25o + sin26o + … + sin284o + sin285o
= sin25o + sin26o + … + cos26o + cos25o
= sin25o + cos25o + sin26o + cos26o + … + sin245o
= 40 + 
= 
= 
