Trigonometric Problems and Solutions, Exercises of Mathematics

A series of trigonometric problems with their respective solutions. The problems involve finding the values of trigonometric functions such as sin, cos, tan, and their reciprocal functions for different angles in degrees and radians. Some problems also involve simplifying trigonometric expressions.

Typology: Exercises

2018/2019

Uploaded on 11/28/2022

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1. Q4. If the sum and difference of two angles are 145° and respectively, then the value of
largest angles in radian measure is?
(a) 0.175 (b) 8 /23 (c) 5 /12 (d) 0.43
2. Find the value of sin 30° + cos 30° + tan 30° + cot 30° ?
(a)
(b)
(c)
(d)
3. Find the value of sin 405° + cosec 405° + cos 765° + sec 765°?
(a)
(b)
(c)
(d)
4. Simplify : sin(990- )+cos ?
(a) 1
(b) 2cos
(c) 2sin
(d) 0
5. If 0< <90o, then (sin + cos ) is :
(a) Less than 1
(b) Equal to 1
(c) Greater than 1
(d) Greater than 2
6. If sin - cos = 0 and , then is equal to :
(a) /2
(b) /4
(c) /6
(d) 0
7. If , then x is equal to
(a) 1
(b)
(c) ½
(d)
8. If sec x = P, cosec x = Q, then:
pf2

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  1. Q4. If the sum and difference of two angles are 145° and respectively, then the value of largest angles in radian measure is? (a) 0.175 (b) 8 /23 (c) 5 /12 (d) 0.
  2. Find the value of sin 30° + cos 30° + tan 30° + cot 30°? (a) (b) (c) (d)
  3. Find the value of sin 405° + cosec 405° + cos 765° + sec 765°? (a) (b) (c) (d)
  4. Simplify : sin(990- )+cos? (a) 1 (b) 2cos (c) 2sin (d) 0
  5. If 0< <90o, then (sin + cos ) is : (a) Less than 1 (b) Equal to 1 (c) Greater than 1 (d) Greater than 2
  6. If sin - cos = 0 and , then is equal to : (a) / (b) / (c) / (d) 0
  7. If , then x is equal to (a) 1 (b) (c) ½ (d)
  8. If sec x = P, cosec x = Q, then:

(a) P^2 + Q^2 = PQ (b) P^2 + Q^2 = P^2 Q^2 (c) P^2 – Q^2 = P^2 Q^2 (d) P^2 + Q^2 = -P^2 Q^2

  1. simplifies to: (a) (b) (c) (d)
  2. The value of tan(180 + ).tan (90 - ) is: (a) 1 (b) - (c) 0 (d) None of these