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3-Trigonometric Functions

Trigonometry

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How to prepare for Trigonometric Functions for JEE
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9
yoogesh_tambe
yoogesh_tambe
S
Evaluate: $\sum_{k=1}^6 \tan ^2\left(\frac{2 k \pi}{7}\right)$
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1
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19
Amodini
Amodini
N
Determine the Nature of $\theta$ Values Satisfying $\sin a \theta+\cos b \theta=0$
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1
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47
solution.livedoubt
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vanshi
If $\sec x=\sqrt{2}$ and $\frac{3 \pi}{2}<x<2 \pi$, find the values of $\frac{1+\tan x+\operatorname{cosec} x}{1+\cot x-\operatorname{cosec} x}$
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1
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38
LiveDoubtClearing
L
M
If \( \frac{\sqrt{2} \sin \alpha}{\sqrt{1+\cos 2 \alpha}}=\frac{1}{7} \) and \( \sqrt{\frac{1-\cos 2 \beta}{2}}=\frac{1}{\sqrt{10}}, \alpha, \beta \)
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1
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129
Math.LiveDoubtClearing
M
A
Prove that $(\sin A \sin B)/( \cos A+\cos B)=(2\tan (A/2) \tan (B/2))/(1-\tan^2(A/2) \tan^2(B/2))$
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1
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557
Math.LiveDoubtClearing
M
A
If \( 2 \tan A=3 \tan B \), Prove that \(\tan (A-B)=\frac{\sin 2 B}{5-\cos 2 B} \)
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1
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498
Math.LiveDoubtClearing
M
A
If \(\frac{\tan(a+b-c)}{\tan(a-b+c)} = \frac{\tan c}{\tan b}\) then prove that $\sin2a+\sin2b+\sin2c=0$
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1
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572
Math.LiveDoubtClearing
M
M
What is the trigonometric identities
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1
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54
Math.LiveDoubtClearing
M
M
If $\sin x=0$ then $x=$
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1
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41
Math.LiveDoubtClearing
M
L
Number of value of $x$ in $[0,2 \pi]$ for which $2^{(2 \sin x-1)(\sin x-1)}+2^{(2 \sin x+1)(2-\sin x)}=9$, is
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1
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73
Math.LiveDoubtClearing
M
L
If $f(x)=\frac{\left(\tan 2025^{\circ}\right) x+\log _e(2024)}{x \log _e(2026)-\left(\tan 2025^{\circ}\right)}, x>0$,
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1
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102
Math.LiveDoubtClearing
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Purva Joshi
Prove \[ 2 - 2\cos(x+y) = 4\sin^2\left(\frac{x+y}{2}\right) \]
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1
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34
Math.LiveDoubtClearing
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Angel
If $\frac{\tan (A+B-C)}{\tan (A-B+C)}=\frac{\tan C}{\tan B}$, then $\sin 2 A+\sin 2 B+\sin 2 C$ is equal to
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1
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71
Math.LiveDoubtClearing
M
D
The number of values of x in the interval \( [0,3 \pi] \) satisfying the equation \( 2 \sin ^{2} x+5 \sin x-3=0 \) is
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1
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74
Math.LiveDoubtClearing
M
M
If \( \tan \beta=\frac{3 \sin \alpha \cos \alpha}{1-3 \sin ^{2} \alpha} \), then \( \frac{\tan (\alpha-\beta)}{\tan \alpha} \) is equal to:
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1
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59
Math.LiveDoubtClearing
M
M
Let \( f:[0,2] \rightarrow R \) be the function defined by
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1
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63
Math.LiveDoubtClearing
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Simra
Suppose $\theta \in\left[0, \frac{\pi}{4}\right]$ is a solution of $4 \cos \theta-3 \sin \theta=1$. Then $\cos \theta$ is equal to :
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1
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83
LiveDoubtClearing
L
Angel
The number of solutions of the equation $2 \theta-\cos ^2 \theta+\sqrt{2}=0$ in $R$ is equal to _____ .
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110
Math.LiveDoubtClearing
M
aalokgupta
$ \text { If } \tan x+\tan ^2 x+\tan ^3 x=1 \text {, then the value of } 10 \cos ^2 x\left(2-\sin ^2(2 x)\right) \text { equals } $
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1
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79
Math.LiveDoubtClearing
M
M
If the inequality \( \sin ^{2} x+a \cos x+a^{2}>1+\cos x \) holds for any \( x \in R \), then the largest negative integral value of \( a \) is
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1
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53
Math.LiveDoubtClearing
M
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