Download App

Trigonometric Ratios of Complementary Angles — Maths STD 10 — Question

Maharashtra BoardEnglish MediumSTD 10MathsTrigonometric Ratios of Complementary Angles1 Mark
Question
Without using trignometric tables, evaluate:
$\frac{\sin16^\circ}{\cos74^\circ}$
✓

Answer

$\frac{\sin16^\circ}{\cos74^\circ}$
$=\frac{\sin(90^\circ-74^\circ)}{\cos74^\circ}$
$=\frac{\cos74^\circ}{\cos74^\circ}$ $[\therefore\ \sin(90-\theta)=\cos\theta]$
$=1$

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 "1 Marks Question" from Trigonometric Ratios of Complementary Angles→Trigonometric Ratios of Complementary Angles — all question types→Maths STD 10 question papers→Maharashtra Board STD 10 question papers→Maharashtra Board question paper generator→

Similar questions

If you want to purchase 50 shares of MV ₹ 50 each. What is the total amount to be paid ?
→
The following are quadratic equations in x?
$\sqrt{2\text{x}^2}+7\text{x}+5\sqrt{2}=0$
→
Decide whether the following equation is quadratic equation or not : (m + 2)(m–5) = 0
→
State whether the given statement is true of false:
The sum of two rationals is always rational.
→
Without using trignometric tables, evaluate:
$\frac{\cot38^\circ}{\tan52^\circ}$
→
What is the distance between two parallel tangents of a circle having radius4.5 cm ? Justify your answer.
→
Very-Short-Answer Questions:
State Euclid's division lemma.
→
One number from 10 to 20 is written on each card. Select one card randomly.
→
Ratio of corresponding sides of two similar triangles is 4:7 then find the ratio of their areas = ?
→
Write an A.P. when the common difference d and the first term a are given.
$a=-3.5, d=-3.5$
→