RD Sharma - Mathematics

Book: RD Sharma - Mathematics

Chapter: 7. Values of Trigonometric Functions at Sum of Difference of Angles

Subject: - Class 11th

Q. No. 6 of Exercise 7.1

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6

If SinA = 1/2, cosB = , where π/2<A < π And 0 <B < π/2, find the following:

(i) tan(A +B)(ii) tan(A -B)

Given sinA = 1/2 And cosB = √3/2 where π/2 <A < π And 0 <B < π/2,


A is in second quadrant And B is in first quadrant.


In the second quadrant, the sine function is positive And cosine And tan functions are negative.


In first quadrant, All functions are positive.


We know that







Then,


(i) tan(A +B)


We know that




= 0


(ii) tan(A –B)


We know that





Chapter Exercises

More Exercise Questions

6

If SinA = 1/2, cosB = , where π/2<A < π And 0 <B < π/2, find the following:

(i) tan(A +B)(ii) tan(A -B)