Home
Class 10
MATHS
Evaluate : sin ^(2)60^(@)tan 45^(@)- cos...

Evaluate : `sin ^(2)60^(@)tan 45^(@)- cos^(2)45^(@)sec 60^(@)`

Text Solution

Verified by Experts

We know that ,
`sin 60^(@)=sqrt(3)/(2),tan 45^(@)=1, cos 45^(@)=(1)sqrt(2),sec60^(@)=2`
`:. sin ^(2)60^(@) tan 45^(@) - cos^(2)45^(@)sec60^(@)`
`=(sqrt(3)/(2))^(2)(1)-((1)/(sqrt(2)))^(2)(2)=(3)/(4)-(1)/(2)xx2=(3)/(4)-1=(3-4)/(4)=-(1)/(4)`
Promotional Banner

Topper's Solved these Questions

  • INTRODUCTION TO TRIGONOMETRY

    NAGEEN PRAKASHAN|Exercise Problems From NCERT/exemplar|29 Videos

  • INTRODUCTION TO TRIGONOMETRY

    NAGEEN PRAKASHAN|Exercise Exercise 8a|20 Videos

  • CONSTRUCTIONS

    NAGEEN PRAKASHAN|Exercise PROBLEMS FROM NCERT/ EXEMPLAR|10 Videos

  • LINEAR EQUATIONS IN TWO VARIABLES

    NAGEEN PRAKASHAN|Exercise Revision Exercise Long Answer Questions|8 Videos

Similar Questions

Explore conceptually related problems

Evaluate: 3sin^(2)30^(@)+2tan^(2)60^(@)-5cos^(2)45^(@)

sin^(2) 60^(@) + 2 tan 45^(@) - cos^(2) 30^(@)

Evaluate : sin^2 60^@+ 2tan 45^@-cos^2 30^@

Evaluate : (sin 30^(@) + tan45^(@) - cosec 60^(@))/(sec 30^(@) + cos 60^(@) + cot 45^(@))

Evaluate: sin^(2)60^(@) cos^(2)45^(@) cos^(2)60^(@)" cosec"^(2)90^(@)

The value of sin^(2) 60^(@) + 2 tan 45^(@) - cos^(2) 30^(@) is :

Evaluate: (sin^(4) 60^(@) + sec^(4)30^(@)) - 2(cos^(2)45^(@) - sin^(2) 90^(@))

Evaluate:   sin^2 60^@+2tan 45^@-cos^2 30^@