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Questions >> CBSE XI >> Math >> Trigonometric Functions

$2\sin ^2\large\frac{3\pi}{4}$ $+2\cos^2\large\frac{\pi}{4}$ $+2\sec^2\large\frac{\pi}{3}$ =

asked Jul 3, 2018 by pady_1

1 answer

how to crack out maths trigonometric function??

asked Aug 29, 2014 by aishwaryalakshmi44

1 answer

Solve the equation $\sec^22x=1-\tan 2x$

asked May 22, 2014 by sreemathi.v

1 answer

Solve the equation $\sin 9\theta=\sin \theta$

asked May 22, 2014 by sreemathi.v

1 answer

Solve the equation $\sin mx+\sin nx=0$

asked May 22, 2014 by sreemathi.v

1 answer

Solve the equation $\sin x\tan x-1=\tan x-\sin x$

asked May 22, 2014 by sreemathi.v

1 answer

If $(1+\tan A)(1+\tan B)=2$ find all values of $A+B$

asked May 22, 2014 by sreemathi.v

1 answer

If $\tan(\cot x)=\cot(\tan x)$ ,prove that $\sin 2x=\large\frac{4}{(2n+1)\pi}$

asked May 22, 2014 by sreemathi.v

1 answer

Solve $3\tan(\theta-15^{\large\circ})=\tan(\theta+15^{\large\circ})$

asked May 22, 2014 by sreemathi.v

1 answer

Solve the equation : $\tan 2x=-\cot (x+\large\frac{\pi}{6})$

asked May 22, 2014 by sreemathi.v

1 answer

Solve the equation $\tan\theta+\tan(\theta+\large\frac{\pi}{3})$ $+\tan(\theta+\large\frac{2\pi}{3})=$ $3$

asked May 22, 2014 by sreemathi.v

1 answer

If $\cos\theta=\large\frac{\cos\alpha-\cos\beta}{1-\cos\alpha\cos\beta}$ then prove that one of the values of $\tan\large\frac{\theta}{2}$ is $\tan \large\frac{\alpha}{2}$ $\cot \large\frac{\beta}{2}$

asked May 22, 2014 by sreemathi.v

2 answers

If $\cos \theta=\cos \alpha.\cos\beta$ prove that $\tan\large\frac{\theta+\alpha}{2}$ $\tan\large\frac{\theta-\alpha}{2}=$ $\tan^2\large\frac{\beta}{2}$

asked May 22, 2014 by sreemathi.v

1 answer

Prove that $(\cos A+\cos B)^2+(\sin A+\sin B)^2=4\cos^2\large\frac{A-B}{2}$

asked May 22, 2014 by sreemathi.v

1 answer

Prove that $\large\frac{1+\sin \theta-\cos \theta}{1+\sin \theta+\cos \theta}=$ $\tan\large\frac{\theta}{2}$

asked May 22, 2014 by sreemathi.v

1 answer

Evaluate : $\sin 18^{\large\circ}$

asked May 22, 2014 by sreemathi.v

1 answer

If $\sin x+\sin y=a$ and $\cos x+\cos y=b$ ,show that $\sin(x+y)=\large\frac{2ab}{a^2+b^2}$

asked May 22, 2014 by sreemathi.v

1 answer

If $2\tan\alpha=3\tan\beta$ ,prove that $\tan(\alpha-\beta)=\large\frac{\sin 2\beta}{5-\cos^2\beta}$

asked May 22, 2014 by sreemathi.v

1 answer

Prove that $\tan\alpha\tan(60^{\large\circ}-\alpha)\tan (60^{\large\circ}+\alpha)=\tan 3\alpha$

asked May 21, 2014 by sreemathi.v

1 answer

Prove that $\cos^3A\cos 3A+\sin^3A\sin 3A=\cos^32A$

asked May 21, 2014 by sreemathi.v

1 answer

Prove that $\tan\alpha+2\tan 2\alpha+4\tan 4\alpha+8\cot 8\alpha=\cot\alpha$

asked May 21, 2014 by sreemathi.v

1 answer

Prove that $\tan(\large\frac{\pi}{4}$ $+\theta)+\tan(\large\frac{\pi}{4}-$ $\theta)=2\sec 2\theta$

asked May 21, 2014 by sreemathi.v

1 answer

Prove that $\tan(60^{\large\circ}+A)\tan(60^{\large\circ}-A)=\large\frac{2\cos 2A+1}{2\cos 2A-1}$

asked May 21, 2014 by sreemathi.v

1 answer

Prove that $\sin 20^{\large\circ}\sin 40^{\large\circ}\sin 80^{\large\circ}=\large\frac{\sqrt 3}{8}$

asked May 21, 2014 by sreemathi.v

1 answer

Express the following as the sum difference of cosines and sines $2\cos 7\theta.\cos 3\theta$

asked May 21, 2014 by sreemathi.v

1 answer

Express the following as the sum difference of cosines and sines $2\sin 3\theta.\cos\theta$

asked May 21, 2014 by sreemathi.v

1 answer

Prove that the value of $5\cos \theta+3\cos (\theta+\large\frac{\pi}{3})+$ $3$ lies between -4 and 10

asked May 21, 2014 by sreemathi.v

1 answer

Find the maximum and minimum values of the following expression $3\cos\theta+5\sin (\theta-\large\frac{\pi}{6})$

asked May 21, 2014 by sreemathi.v

1 answer

Find the sign of the expression $\sin \theta+\cos \theta$ when $\theta=100^{\large\circ}$

asked May 21, 2014 by sreemathi.v

1 answer

If $3\tan \theta\tan\phi=1$ ,prove that $2\cos (\theta+\phi)=\cos (\theta-\phi)$

asked May 21, 2014 by sreemathi.v

1 answer

If $\alpha$ and $\beta$ are the solution of the equation $a\sec\theta+b\tan\theta=c$ ,then show that $\tan(\alpha+\beta)=\large\frac{2bc}{b^2-c^2}$

asked May 21, 2014 by sreemathi.v

1 answer

Prove that $\cos^2A+\cos ^2B-2\cos A\cos B.\cos(A+B)=\sin^2(A+B)$

asked May 21, 2014 by sreemathi.v

1 answer

Prove that $\tan 70^{\large\circ}=2\tan 50^{\large\circ}+\tan 20^{\large\circ}$

asked May 21, 2014 by sreemathi.v

1 answer

Prove that $\cos (45^{\large\circ}-A).\cos(45^{\large\circ}-B)-\sin(45^{\large\circ}-A)\sin(45^{\large\circ}-B)=\sin(A+B)$

asked May 21, 2014 by sreemathi.v

1 answer

If $A$ and $B$ are positive acute angle and $\cos A=\large\frac{1}{7},$ $\cos B=\large\frac{13}{14}$ ,then show that $A-B=60^{\large\circ}$

asked May 21, 2014 by sreemathi.v

1 answer

Evaluate : $\sin(n\pi+(-1)^n\large\frac{\pi}{4})$ where $n$ is an integer,

asked May 21, 2014 by sreemathi.v

1 answer

Evaluate $\tan 75^{\large\circ}+\cot 75^{\large\circ}$

asked May 21, 2014 by sreemathi.v

1 answer

Find the value of $\tan 105^{\large\circ}$

asked May 21, 2014 by sreemathi.v

1 answer

Evaluate $\sin 105^{\large\circ}+\cos 105^{\large\circ}$

asked May 21, 2014 by sreemathi.v

1 answer

Find the value $\tan 330^{\large\circ}$

asked May 21, 2014 by sreemathi.v

1 answer

Find the value of $\mathrm{cosec}(-1410^{\large\circ})$

asked May 21, 2014 by sreemathi.v

1 answer

Find the degree measure of $(-2)^c$

asked May 21, 2014 by sreemathi.v

1 answer

If the arcs of the same length in two circles subtend angles of $60^{\large\circ}$ and $75^{\large\circ}$ at their respective centres,find the ratio of their radii

asked May 21, 2014 by sreemathi.v

1 answer

In right-angled triangle, the difference between the two acute angles is $(\large\frac{\pi}{15})^c$ .Find the angles in degrees

asked May 20, 2014 by sreemathi.v

1 answer

Evaluate : $\cot ^4\theta+\cot ^2\theta$

asked May 20, 2014 by sreemathi.v

1 answer

Find the radian measure of $-37^{\large\circ}30'$

asked May 20, 2014 by sreemathi.v

1 answer

Find the degree measure of $(\large\frac{7\pi}{12})^c$

asked May 20, 2014 by sreemathi.v

1 answer

The angles of a triangle are in the ratio 3 : 4 : 5.Find the smallest angle in degrees and the greatest angle in radians

asked May 20, 2014 by sreemathi.v

1 answer

In a circle of diameter 50cm,the length of a chord is 25cm.Find the length of the minor arc of the chord

asked May 20, 2014 by sreemathi.v

1 answer

Find the radius of the circle in which a central angle of $45^{\large\circ}$ intercepts an arc 132cm

asked May 20, 2014 by sreemathi.v

1 answer

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