Get 2 FREE Instant-Explanations on Filo with code FILOAPP

The value of {3} {cosec} 20^0- 20^0 is

Question

The value of $3 cosec 2 0^{0} - sec 2 0^{0}$ is

4.5

4

8

9

Views: 918 students

Found 8 tutors discussing this question

Emily Discussed

The value of

3 cosec 2 0^{0} - sec 2 0^{0}

13 mins ago

Discuss this question LIVE

13 mins ago

Text solutionVerified

The value of

3 csc 20^{\circ} - sec 20^{\circ}

2 (\frac{3}{2} csc 20^{\circ} - \frac{1}{2} sec 20^{\circ})

= 2 (sin 60^{\circ} . csc 20^{\circ} - cos 60^{\circ} . sec 20^{\circ})

= 2 (\frac{sin 60 ^{\circ}}{sin 20 ^{\circ}} - \frac{cos 60 ^{\circ}}{cos 20 ^{\circ}})

= 2 (\frac{sin 60 ^{\circ} . cos 20 ^{\circ} - sin 20 ^{\circ} . cos 60 ^{\circ}}{sin 20 ^{\circ} . cos 20 ^{\circ}})

= 2 \frac{sin ( 60 ^{\circ} - 20 ^{\circ} )}{sin 20 ^{\circ} . cos 20 ^{\circ}}

= \frac{2 sin 2 ( 20 ^{\circ} )}{sin 20 ^{\circ} . cos 20 ^{\circ}}

= \frac{4 sin 20 ^{\circ} . cos 20 ^{\circ}}{sin 20 ^{\circ} . cos 20 ^{\circ}} = 4

Was this solution helpful?

150

Report

One destination to cover all your homework and assignment needs

Learn Practice Revision Succeed

Instant 1:1 help, 24x7

60, 000+ Expert tutors

Textbook solutions

Big idea maths, McGraw-Hill Education etc

Essay review

Get expert feedback on your essay

Schedule classes

High dosage tutoring from Dedicated 3 experts

Trusted by 4 million+ students

Stuck on the question or explanation?

Connect with our maths tutors online and get step by step solution of this question.

231 students are taking LIVE classes