Home
Class 10
MATHS
Prove that : (i) sin42^(@)cos48^(@)+si...

Prove that : (i) `sin42^(@)cos48^(@)+sin48^(@)cos42^(@)=1`
(ii)`cos70^(@)cos20^(@)-sin70^(@)sin20^(@)=0`

Text Solution

AI Generated Solution

To prove the given statements, we will use trigonometric identities. ### (i) Prove that: \[ \sin 42^\circ \cos 48^\circ + \sin 48^\circ \cos 42^\circ = 1 \] **Step 1:** Recall the sine addition formula: \[ \sin(A + B) = \sin A \cos B + \cos A \sin B ...
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

Prove that : cos30^(@).cos60^(@)-sin30^(@).sin60^(@)=0

Prove that : cos30^(@).cos60^(@)-sin30^(@).sin60^(@)=0

Show that: sin 42^(@)sec 48^(@)+cos 42^(@)cosec 48^(@)=2

Prove that: (cos40^(@)+cos50^(@))/(sin40^(@)+sin50^(@))=1

Evaluate: sin 42^(@)sin 48^(@)-cos 42^(@)cos 48^(@)

Evaluate cos 48^(@) cos 42^(@) - sin48^(@) sin 42^(@)

Evaluate: i) sin48^(@)cos42^(@)+cos48^(@)sin42^(@) ii) cos72^(@)cos12^(@)+sin72^(@)sin12^(@) ii) cos72^(@)cos12^(@)+sin72^(@)sin12^(@) iii) (tan100^(@)+tan35^(@))/(1-tan100^(@)tan35^(@)) iv) sinAcos(A-B)-cosAsin(A-B)

Prove that : sin60^(@)cos30^(@)+cos60^(@).sin30^(@)=1

Prove that : "cosec "65^(@)cos25^(@)+"cosec20"^(@)cos70^(@)=2

Prove that: sin48^@sec42^@+cos48^@\ cos e c\ 42^@=2