Trigonometry - Class 10 CBSE

Trigonometry - Class 10 CBSE

by

Salman Nizarudin

Fill in the Blanks

If tan θ + cot θ = 5, find the value of  $\tan^2\theta+\cot^2\theta$ . (2012)

Fill in the Blanks

If sec 2A = cosec (A – 27°) where 2A is an acute angle, find the measure of ∠A. (2012, 2017D)

Fill in the Blanks

If sin θ – cos θ = 0, find the value of  $\sin^4\theta+\cos^4\theta$ . (2012, 2017D)

Multiple Choice

If in a right angled ∆ABC, tan B =  $\frac{12}{5}$ ,  then find sin B. (2014)

•  $\frac{5}{12}$  

•  $\frac{12}{13}$  

•  $\frac{13}{5}$  

•  $\frac{13}{12}$  

Fill in the Blanks

If 5 sin θ = 4, find  $\frac{1}{\cos\theta}+\frac{1}{\cot\theta}$  (2013)

Multiple Choice

In an acute angled triangle ABC, if sin (A + B – C) = $\frac{1}{2}$  and cos (B + C – A) = $\frac{1}{\sqrt{2}}$ , find ∠A, ∠B and ∠C. (2012)

•  $A=70\degree\ ,\ B=40\degree\ ,\ C=70\degree$  

•  $A=60\degree\ ,\ B=30\degree\ ,\ C=90\degree$  

•  $A=67.5\degree\ ,\ B=37.5\degree\ ,\ C=75\degree$  

•  $A=80\degree\ ,\ B=20\degree\ ,\ C=80\degree$  

Fill in the Blanks

In the figure, ABCD is a rectanlge with breadth BC = 7 cm and ∠CAB = 30°. Find the length of side AB of the rectangle and length of diagonal AC. If the ∠CAB = 60°, then what is the size of the side AB of the rectangle. [Use  $\sqrt{\ 3\ }=1.73$  and  $\sqrt{2}\ =\ 1.41$ , if required) (2014OD)

[ENTER ANSWER UPTO 2 or 3 DECIMAL PLACES]