Numerical Problems with Answers, Solution | Trigonometry | Maths - Exercise 6.1: Trigonometry Basic | 9th Maths : UNIT 6 : Trigonometry
Chapter: 9th Maths : UNIT 6 : Trigonometry
Exercise 6.1: Trigonometry Basic
Trigonometry: Basic
Exercise 6.1
1. From the given figure, find all the
trigonometric ratios of angle B.
2. From the given figure, find the values
of
(i) sin B (ii) sec B (iii) cot B (iv)
cos C (v) tanC (vi) cosecC
3. If 2 cos θ = √3 , then find all the
trigonometric ratios of angle θ .
4. If cos A = 3/5, then find the value
of (sin A−cosA) / 2tanA.
5. If cos A = 
, then find the
values of sinA and tanA in terms of x.
6. If sin θ = 
, then show that bsin
θ = acos θ .
7. If 3cot A = 2 , then find the value
of [ 4sinA-3cos A ] / [ 2sinA+3cos A ].
8. If cos θ : sin θ = 1 : 2, then find
the value of [8cosθ-2sinθ ] / [ 4cosθ+2sinθ].
9. From the given figure, prove that
θ+φ=90º. Also prove that there are two other right angled triangles. Find sinα, cosβ and tanϕ.
10. A boy standing at a point O
finds his kite flying at a point P with distance OP=25m. It
is at a height of 5m from the ground. When the thread is extended by 10m
from P, it reaches a point Q. What will be the height QN of
the kite from the ground? (use trigonometric ratios)
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