Home
Class 10
MATHS
If sin A= cos A, then evaluate tan A+ si...

If `sin A= cos A,` then evaluate `tan A+ sin^(2) A+1`.

Text Solution

Verified by Experts

We know that , sin A=cosA, then
A`= 45^(@)`
Now , `tan A+sin^(@) A+1= tan45^(@)+ sin^(2) 45^(@) +1`
`=1+((1)/(sqrt(2)))^(2)+1=2+(1)/(2)=(5)/(2)`
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

If 3 sin A = 4 cos A , find the value of : tan^2A-sec^2A

If sin theta = cos theta find the value of : 3 tan ^(2) theta+ 2 sin ^(2) theta -1

If tan A =a/b , then find the value of ("a sin A- b cos A")/("a sin A + b cos A") .

If A = 30^(@) , then Prove that : (i) sin 2A = 2 sin A cos A = (2 tan A)/(1 + tan^(2)A) (ii) 2 cos^(2)A - 1 = 1 - 2 sin^(2) A

If cosA+cos^2A=1, find the value of sin^2A+sin^4A.

If tan A =1 and tan b = sqrt3 , evaluate : cos A cos B - sin A sin B.

If sin A + sin^2 A + sin^3 A = 1 , then find the value of cos^6 A-4 cos^4 A + 8 cos^2 A .

If tan x =1(1)/3 , find the value of : 4 sin^2x -3 cos^2x +2

If tan A =1 and tan b = sqrt3 , evaluate : sin A cos B+ cos A sin B.

If cos A =(1)/(3) ,then find the values of sin A and tan A.