The value of $\tan 1^{\circ} \cdot \tan 2^{\circ} \tan 3^{\circ}$ equal to
- A-1
- ✓1
- C$\frac{\pi}{2}$
- D2
Answer: B.
View full solution →Question types
Trigonometry – I question types
144 questions across 7 question groups — pick any mix to generate a Maths paper with step-by-step answer keys.
144
Questions
7
Question groups
5
Question types
01
MCQ
10 Q→02Solve the following Question.(1 Marks)
54 Q→03Solve the Following Question.(2 Marks)
42 Q→04Solve the Following Question.(3 Marks)
14 Q→05Complete the following activities and rewrite it : (3M)
3 Q→06Solve the Following Question.(4 Marks)
18 Q→07Solve the Following Question.(5 Marks)
3 Q→Sample Questions
Trigonometry – I questions
One sample from each question group in this chapter. Select any group above to see the full set with answer keys.
The cotangent of the angles $\frac{\pi}{3}, \frac{\pi}{4}$ and $\frac{\pi}{6}$ are in
- AA.P.
- ✓G.P.
- CH.P.
- DNot in progression
Answer: B.
View full solution →If $\operatorname{cosec} \theta-\cot \theta=q$, then the value of $\cot \theta$ is
- A$\frac{2 q}{1+q^2}$
- B$\frac{2 q}{1-q^2}$
- ✓$\frac{1-\mathrm{q}^2}{2 \mathrm{q}}$
- D$\frac{1+q^2}{2 q}$
Answer: C.
View full solution →$1-\frac{\sin ^2 \theta}{1+\cos \theta}+\frac{1+\cos \theta}{\sin \theta}-\frac{\sin \theta}{1-\cos \theta}$ equals
- A$0$
- B$1$
- C$\sin \theta$
- ✓$\cos \theta$
Answer: D.
View full solution →If $\operatorname{cosec} \theta+\cot \theta=\frac{5}{2}$, then the value of $\tan \theta$ is
- A$\frac{14}{25}$
- ✓$\frac{20}{21}$
- C$\frac{21}{20}$
- D$\frac{15}{16}$
Answer: B.
View full solution →Prove the following : $\cos ^4 \theta-\sin ^4 \theta+1=2 \cos ^2 \theta$
View full solution →Prove the following : $\sin ^4 \theta+\cos ^4 \theta=\sin ^4 \theta+\cos ^4 \theta$
View full solution →Prove the following : L.H.S. $=\left(\tan \theta+\frac{1}{\cos \theta}\right)^2+\left(\tan \theta-\frac{1}{\cos \theta}\right)^2=2\left(\frac{1+\sin ^2 \theta}{1-\sin ^2 \theta}\right)$
View full solution →Prove the following:
$\sin ^2 A \cos ^2 B+\cos ^2 A \sin ^2 B+\cos ^2 A \cos ^2 B+\sin ^2 A \sin ^2 B=1$
View full solution →$\sin ^2 A \cos ^2 B+\cos ^2 A \sin ^2 B+\cos ^2 A \cos ^2 B+\sin ^2 A \sin ^2 B=1$
Show that $1 – 2sin θ cos θ ≥ 0$ for all $θ ∈ R.$
View full solution →Prove the following : $2(\sin^6 \theta + \cos^6 \theta ) – 3(\sin^4 \theta + \cos^4 \theta ) + 1 = 0$
View full solution →Prove the following : $\sec^2\theta –\sec^4\theta –2cosec^2\theta +cosec^4\theta =\cot^4\theta –\tan^4\theta $
View full solution →Prove the following : $\frac{\operatorname{cosec} \theta+\cot \theta+1}{\cot \theta+\operatorname{cosec} \theta-1}=\frac{\cot \theta}{\operatorname{cosec} \theta-1}$
View full solution →Show that $\tan^2 \theta + \cot^2 \theta \geq 2$ for all $\theta \in R$.
View full solution →Which of the following is positive?
sin(-310°) or sin(310°)
sin(-310°) or sin(310°)
Prove the following : $\frac{(1+\cot \theta+\tan \theta)(\sin \theta-\cos \theta)}{\sec ^3 \theta-\operatorname{cosec}^3 \theta}=\sin ^2 \theta \cos ^2 \theta$
View full solution →If $\sec \theta=\sqrt{2}$ and $\frac{3 \pi}{2}<\theta<2 \pi$, then evaluate $\frac{1+\tan \theta+\operatorname{cosec} \theta}{1+\cot \theta-\operatorname{cosec} \theta}$
View full solution →If $\sin \theta=\frac{x^2-y^2}{x^2+y^2}$, then find the values of $\cos \theta, \tan \theta$ in terms of $x$ and $y$.
View full solution →Find the trigonometric functions of $: -330^\circ$
View full solution →Find the trigonometric functions of : -300°
Which of the following is true?
i) $2 \cos ^2 \theta=\frac{1-\tan ^2 \theta}{1+\tan ^2 \theta}$
ii) $\frac{\cot A-\tan B}{\cot B-\tan A}=\cot A \tan B$
iii) $\frac{\cos \theta}{1-\tan \theta}+\frac{\sin \theta}{1-\cot \theta}=\sin \theta+\cos \theta$
View full solution →i) $2 \cos ^2 \theta=\frac{1-\tan ^2 \theta}{1+\tan ^2 \theta}$
ii) $\frac{\cot A-\tan B}{\cot B-\tan A}=\cot A \tan B$
iii) $\frac{\cos \theta}{1-\tan \theta}+\frac{\sin \theta}{1-\cot \theta}=\sin \theta+\cos \theta$
Find trigonometric functions of angles $150^{\circ}$, $210^{\circ}, 330^{\circ},-45^{\circ},-120^{\circ},-\frac{3 \pi}{4}$ and complete the table.
View full solution →
Find trigonometric functions of angles 180°, 270°.
Find the trigonometric functions of : -210°
Find the trigonometric functions of : -120°
Find the trigonometric functions of : 315°
Find the trigonometric functions of : 240°
Find the trigonometric functions of : 225°
If $\cot \theta=\frac{3}{4}$ and $\pi<\theta<\frac{3 \pi}{2}$, then find the value of $4 \operatorname{cosec} \theta+5 \cos \theta$.
View full solution →If cosec θ + cot θ = 5, then evaluate sec θ.
If $2 \sin A=1=\sqrt{2} \cos B$ and $\frac{\pi}{2}
View full solution →Generate a Trigonometry – I paper free
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