Download App

Trigonometric Ratios — Maths STD 10 — Question

Gujarat BoardEnglish MediumSTD 10MathsTrigonometric Ratios2 Marks
Question
Evaluate the following:
$\text{cosec}^330^\circ\cos60^\circ\tan^345^\circ\sin^290^\circ\sec^245^\circ\cot30^\circ$
✓

Answer

$\text{cosec}^330^\circ\cos60^\circ\tan^345^\circ\sin^290^\circ\sec^245^\circ\cot30^\circ$
$=(2)^3\times\frac{1}{2}\times(1)^3\times(1)^2\times(\sqrt{2})^2\times\sqrt{3}$
$=8\times\frac{1}{2}\times1\times1\times2\times\sqrt{3}$
$=8\sqrt{3}$

Need a full question paper?

Generate a complete, print-ready paper with questions like this in minutes — across 16+ boards, with answer keys.

Start Generating Free

Explore more

More "2 Marks Questions" from Trigonometric Ratios→Trigonometric Ratios — all question types→Maths STD 10 question papers→Gujarat Board STD 10 question papers→Gujarat Board question paper generator→

Similar questions

Find the value of x in the following:
$\sqrt{3}\sin\text{x}=\cos\text{x}$
→
Is the given series: $0, -4, -8, -12, ....$forms an $AP?$ If it forms an $AP$, then find the common difference $d$ and write three more terms.
→
Find the $10^{\text {th }}$ term from the end of the A.P. $8, 10, 12, ..., 126.$
→
From a circular piece of cardboard of radius $3\ cm$ two sectors of $90^\circ$ have been cut off. Find the perimeter of the remaining portion nearest hundredth centimeters $\Big(\text{Take }\pi =\frac{22}{7}\Big). $
→
Evaluate the following:
$\frac{\sec70^\circ}{\text{cosec }20^\circ}+\frac{\sin59^\circ}{\cos31^\circ}$
→
In $\triangle\text{ABC},$ points $P$ and $Q$ are on $CA$ and $CB,$ respectively such that $CA = 16\ cm, CP = 10\ cm, CB = 30\ cm$ and $CQ = 25\ cm.$ Is $PQ || AB?$
→
The Sum and product of the zeros of a quadratic polynomial are $-\frac{1}{2}$ and -3 respectively. What is the quadratic polynomial?
→
Very-short and Short-Answer Questions.
Write the value of $\sec^2\theta(1+\sin\theta)(1-\sin\theta).$
→
The areas of two similar triangles $ABC$ and $PQR$ are in the ratio $9 : 16$. If $BC = 4.5cm$, find the length of $QR$.
→
A sector is cut-off from a circle of radius $21\ cm$. The angle of the sector is $120^\circ$. Find the length of its arc and the area.
→