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

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

Text Solution

AI Generated Solution

To evaluate the expression \( \sin^2 60^\circ \tan 45^\circ - \cos^2 45^\circ \sec 60^\circ \), we will follow these steps: ### Step 1: Find the values of the trigonometric functions - **Sine of 60 degrees**: \[ \sin 60^\circ = \frac{\sqrt{3}}{2} \] - **Tangent of 45 degrees**: ...
Promotional Banner

Topper's Solved these Questions

  • INTRODUCTION TO TRIGONOMETRY

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

  • INTRODUCTION TO TRIGONOMETRY

    NAGEEN PRAKASHAN ENGLISH|Exercise Exercise 8a|20 Videos

  • CONSTRUCTIONS

    NAGEEN PRAKASHAN ENGLISH|Exercise Exercise 11 B|10 Videos

  • LINEAR EQUATIONS IN TWO VARIABLES

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

Similar Questions

Explore conceptually related problems

Evaluate sin 10^(@)sec80^(@)+4tan45^(@) .

Evaluate : 14 sin 30^(@)+6cos 60^(@)-5tan 45^(@)

Evaluate : 14 sin 30^(@)+6cos 60^(@)-5tan 45^(@)

Evaluate: cos^(2)25^(@)-sin^(2)65^(@)-tan^(2)45^(@)

Find the value of : 3sin^(2)30^(@)+2tan^(2)60^(@)-5cos^(2)45^(@)

Find the value of : 3sin^(2)30^(@)+2tan^(2)60^(@)-5cos^(2)45^(@)

Evaluate : 2 sec 30^(@) xx tan 60^(@)

Evaluate : (sin^(2)30^(@)+sin^(2)45^(@)-4cot^(2)60^(@))/(2sin30^(@)cos30^(@)+(1)/(2)tan60^(@))

Evaluate : (i) cos^(2) 25^(@) - sin^(2)65^(@) - tan^(2)45^(@) (ii) ((sin 77)/(cos 13))^(2) + ((cos 77)/(sin 13))^(2) - 2 cos^(2) 45^(@)

Find the vlaue of 4sin^(2)30^(@)+tan^(2)60^(@)+sec^(2)45^(@) .