Home
Class 10
MATHS
Evaluate the following : (i)(sin...

Evaluate the following :
(i)`(sin58^(@))/(cos32^(@))`
(ii) `(sec42^(@))/("cosec"48^(@))`
(iii)`(tan37^(@))/(cot53^(@))`

Text Solution

AI Generated Solution

To evaluate the given expressions step by step, we can use trigonometric identities and properties. Let's solve each part one by one. ### Part (i): Evaluate \(\frac{\sin 58^\circ}{\cos 32^\circ}\) 1. **Identify the relationship**: We know that \(58^\circ\) can be expressed as \(90^\circ - 32^\circ\). \[ \sin 58^\circ = \sin(90^\circ - 32^\circ) ...
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 (sin35^(@))/(cos55^(@))+(sec20^(@))/("cosec"70^(@)) .

Without using trigonometric tables , evaluate : (i) (sin11^(@))/(cos79^(@)) (ii) (sec15^(@))/("cosec"75^(@)) (iii) (tan54^(@))/(cot36^(@)) (iv) (cos68^(@))/(sin22^(@)) (v) ("cosec"24^(@))/(sec66^(@)) (vi) (cot18^(@))/(tan72^(@))

Evaluate : 3(sin 72^(@))/(cos 18^(@))-(sec 32^(@))/(cosec 58^(@))

Evaluate the following: (cos37^0)/(sin53^0) (ii) (tan54^0)/(cot36^0) (iv) (cos e c34^0)/(sec56^0)

Evaluate the following: (i) ((sin49^@)/(cos41^@))^2+((cos41^@)/(sin49^@))^2 (ii) cos48^@-sin42^@

Without using trigonometric tables , evaluate : (i) (sin40^(@))/(cos50^(@))+(3tan50^(@))/(cot40^(@)) (ii) (sec37^(@))/("cosec "53^(@))-(tan20^(@))/(cot70^(@)) (iii) (cos74^(@))/(sin16^(@))+(sin12^(@))/(cos78^(@))-sin18^(@)sec72^(@) (iv) sin35^(@)sec55^(@)+(4sec32^(@))/("cosec "58^(@))

Evaluate : (i) tan42^(@)-cot48^(@) (ii) sec36^(@)-"cosec"54^(@)

Evaluate the following: (i) (tan35^@)/(cot55^@)+(cot78^@)/(tan12^@)-1 (ii) (sec70^@)/(cos e c\ 20^@)+(sin59^@)/(cos31^@)

Evaluate the following: (i) (sin21o)/(cos69o) (ii) (tan10o)/(cot80o) (iii) (sec11o)/(cos e c\ 79o)

using trigonometric tables evaluate the following : (cot 30^(@))/(sec 30^(@)) + ("cosec 30"^(@))/(tan 45^(@)) - (2 cos 0^(@))/(sin 30^(@)) + cos^(2) 45^(@)