List of top Mathematics Questions on Trigonometric Ratios

The value of $4 \sin 30^\circ \cos 60^\circ$ will be :
If 3 cot A = 4, check whether \(\frac{(1-\text{tan}^2 A)}{(1+\text{tan}^2 A)}\) = cos2 A – sin2 A or not

If \(cot\  \theta = \frac{7}{8},\) evaluate:

(i) \(\frac{(1 + sin\  \theta)(1 – sin θ)}{(1+cos θ)(1-cos θ)}\)

(ii) \(cot^2\) \(θ\)

If \(∠\) A  and \(∠\) B are acute angles such that cos A = cos B, then show that
\(∠ A = ∠ B\).
Given sec \( θ =\frac{13}{12}\), calculate all other trigonometric ratios.
Given 15 cot A = 8. Find sin A and sec A.
In triangle ABC, right-angled at B, if tan A =\(\frac{ 1}{\sqrt{3}}\). find the value of:
(i) sin A cos C + cos A sin C
(ii) cos A cos C – sin A sin C
In \(Δ\)PQR, right angled at Q, PR + QR = 25 cm and PQ = 5 cm. Determine the values of sin P, cos P and tan P.
State whether the following are true or false. Justify your answer.
(i) The value of tan A is always less than 1.
(ii) sec A = \(\frac{12}{5}\) for some value of angle A.
(iii) cos A is the abbreviation used for the cosecant of angle A.
(iv) cot A is the product of cot and A.
(v) sin \(\theta\) = \(\frac{4}{3}\) for some angle \(\theta\).

If sin A = \(\frac{3}{4}\), calculate cos A and tan A.

In the given figure find tan P - cot R
In the given figure find tan P - cot R
In \(ΔABC\) right angled at B, AB = 24 cm, BC = 7 m. Determine 
(i) sin A, cos A
(ii) sin C, cos C