Home
Class 10
MATHS
Evaluate the following (i) sin 60^@ co...

Evaluate the following
(i) `sin 60^@ cos30^@ + sin 30^@ cos 60^@`
(ii) `2tan^2 45^@ + cos^2 30^@ - sin^2 60^@`
(iii) `(cos45^@)/(sec30^@ + c o s e c 30^@)`
(iv) `(sin30^@ + tan45^@ - c o s e c 60^@ )/(sec30^@ + cos60^@ +cot45^@)`
(v) `(5cos^2 60^@ + 4sec^2 30^@ - tan^2 45^@ )/ (sin^2 30^@ + cos^2 30^@ ) `

Text Solution

Verified by Experts

(i) `sin60^@cos30^@ + sin30^@cos60^@`
`=sin(60^@+30^@) = sin90^@ = 1`

(ii)`2tan^2 45^@ +cos^2 30^@ - sin^2 60^@`
`=2(1)^2 +(sqrt3/2)^2 - (sqrt3/2)^2`
`=2`

...
Promotional Banner

Topper's Solved these Questions

  • INTRODUCTION TO TRIGONOMETRY

    NCERT ENGLISH|Exercise Exercise 8.4|14 Videos

  • INTRODUCTION TO TRIGONOMETRY

    NCERT ENGLISH|Exercise SOLVED EXAMPLES|15 Videos

  • COORDINATE GEOMETRY

    NCERT ENGLISH|Exercise EXERCISE 7.3|5 Videos

  • NCERT THEOREMS

    NCERT ENGLISH|Exercise THEOREM 10.1|2 Videos

Similar Questions

Explore conceptually related problems

(5cos^(6)60^(@)+4sec^(2)30^(@)-tan^(2)45^(@))/(sin^(2)30^(@)+cos^(2)30^(@))

Evaluate: (cos45)/(sec30+cosec30)

Evaluate (2tan45^@ xx cos 60^@)/sin30^@

The valiue of sin60^(@) cos 30^(@) + sin 30^(@)cos 60^(@) is ______.

Evaluate the following: (i) cos60ocos45o-sin60osin45o (ii) sin^2 30o+sin^2 45o+sin^2 60o+sin^2 90o

Verify that : sin 60^@ = 2 sin 30^@ cos 30^@

Evaluate the following: (i) sin45osin30o+cos45ocos30o (ii) sin60ocos30o+cos60osin30o

Evaluate the following: (i) 4/(cot^2 30o)+1/(sin^2 60o)-cos^2 45o (ii) 4(sin^4 30o+cos^2 60o)-3(cos^2 45o-sin^2 90o)-sin^2 60o

Evaluate the following: (tan45^@)/(cos e c\ 30^@)+(sec60^@)/(cot45^@)-(5sin90^@)/(2cos0^@)

Evaluate : (tan45^(@))/(2sin30^(@)-cos60^(@))