Home
Class 10
MATHS
Prove that (sqrt(3)+1)(3-cot30^@)=tan^3(...

Prove that `(sqrt(3)+1)(3-cot30^@)=tan^3(60)^@-2sin60^@`

Promotional Banner

Topper's Solved these Questions

  • INTRODUCTION TO TRIGONOMETRY AND TRIGONOMETRIC IDENTITIES

    OSWAL PUBLICATION|Exercise NCERT EXEMPLAR (Exercise - 8.4)|8 Videos

  • INTRODUCTION TO TRIGONOMETRY AND TRIGONOMETRIC IDENTITIES

    OSWAL PUBLICATION|Exercise BOARD CORNER (Very Short Answer Type Questions)|5 Videos

  • INTRODUCTION TO TRIGONOMETRY AND TRIGONOMETRIC IDENTITIES

    OSWAL PUBLICATION|Exercise NCERT EXEMPLAR (Exercise - 8.2) (True or False)|8 Videos

  • INTRODUCTION TO TRIGONOMETRY

    OSWAL PUBLICATION|Exercise Self - Assessment |15 Videos

  • LINES (IN TWO - DIMENSIONS)

    OSWAL PUBLICATION|Exercise BOARD CORNER (LONG ANSWER TYPE QUESTION)|2 Videos

Similar Questions

Explore conceptually related problems

Prove that: (cos30^(@)+sin60^(0))/(1+cos60^(@)+sin30^(@))=(sqrt(3))/(2)

Prove that : (4)/(3) tan ^(2) 30^(@) + sin ^(2) 60^(@) - 3 cos ^(2) 60^(@) + (3)/(4) tan^(2) 60^(@) - 2 tan^(2) 45^(@) = (25)/(36)

Without using trigonometric tables , prove that : (i) tan20^(@)tan40^(@) tan45^(@)tan50^(@)tan70^(@)=1 (ii) tan1^(@) tan2^(@)tan60^(@)tan88^(@)tan89^(@)=sqrt(3) (iii) cot5^(@)cot10^(@)cot30^(@)cot80^(@)cot85^(@)=sqrt(3) (iv) 4sin10^(@)sin20^(@)sin30^(@)sec70^(@)sec80^(@)=2

Prove that: tan A+tan(60^(@)+A)-tan(60^(@)-A)=3tan3A

Prove that : (i) tan 5^@tan 25^@ tan 30^@tan 65^@tan 85^@=(1)/(sqrt(3)) (ii) cot 12^@cot38^@cot 52^@cot60^@cot78^@=(1)/(sqrt(3)) (iii) cos 15^@cos 35^@cosec 55^@cos 60^@cosec 75^@=(1)/(2) (iv) cos 1^@cos 2^@cos 3^@.....cos 180^@=0 (v) ((sin 49^@)/(cos 41^@))^2+ ((cos 41^@)/(sin 49^@))^2=2

Prove that: cot A+cot(60^(@)+A)-cot(60^(@)-A)=3cot3A

Prove (1-sin60^(@))/(cos60^(@))=(1-tan30^(@))/(1+tan30^(@))

Show that (i) cos60^(@)*cos30^(@)-sin60^(@)*sin30^(@)=cos90^(@) (ii) cos60^(@)=1-2sin^(2)30^(@)=2cos^(2)30^(@)-1 (iii) (tan60^(@)-tan30^(@))/(1+tan60^(@)*tan30^(@))=tan30^(@)

(tan60^@)/(sin60^@+cos30^@)

The value of 2 sqrt(2) cos 45^(@) * cos 60^(@) + 2 sqrt(3) sin 30^(@) tan 60^(@) - cos 0^(@) is