From the figure (1) given below, find the values of: (i) sin B (ii) cos C (iii) sin B + sin C (iv) sin B cos C + sin C cos B.

In right-angled triangle ABC, By Pythagoras theorem, we get ⇒ BC 2 = AC 2 + AB 2 ⇒ AC 2 = BC 2 - AB 2 ⇒ AC 2 = (10) 2 - (6) 2 ⇒ AC 2 = 100 - 36 ⇒ AC 2 = 64 ⇒ AC = ⇒ AC = 8. (i) sin B = = . Hence, sin B = . (ii) cos C = = Hence, cos C = . (iii) sin C = = . Substituting values of sin B and sin C in sin B + sin C we get : ⇒ sin B + sin C = . Hence, sin B + sin C = . (iv) sin B = , sin C = , cos C = . cos B = = . Substituting values in equation sin B cos C + sin C cos B we get : Hence, sin B cos C + sin C cos B = 1.

From the figure (1) given below, find the values of:
(i) sin θ
(ii) cos θ
(iii) tan θ
(iv) cot θ
(v) sec θ
(vi) cosec θ

View Answer Bookmark Now

From the figure (2) given below, find the values of :
(i) sin A
(ii) cos A
(iii) sin² A + cos² A
(iv) sec² A - tan² A

View Answer Bookmark Now

From the figure (1) given below, find the value of sec θ.

View Answer Bookmark Now

Mathematics

From the figure (1) given below, find the values of:
(i) sin B
(ii) cos C
(iii) sin B + sin C
(iv) sin B cos C + sin C cos B.

Trigonometrical Ratios

Related Questions

From the figure (1) given below, find the values of:
(i) sin θ
(ii) cos θ
(iii) tan θ
(iv) cot θ
(v) sec θ
(vi) cosec θ

From the figure (2) given below, find the values of :
(i) sin A
(ii) cos A
(iii) sin² A + cos² A
(iv) sec² A - tan² A

From the figure (1) given below, find the value of sec θ.

Mathematics

From the figure (1) given below, find the values of:(i) sin B(ii) cos C(iii) sin B + sin C(iv) sin B cos C + sin C cos B.

Trigonometrical Ratios

Related Questions

From the figure (1) given below, find the values of:(i) sin θ(ii) cos θ(iii) tan θ(iv) cot θ(v) sec θ(vi) cosec θ

From the figure (2) given below, find the values of :(i) sin A(ii) cos A(iii) sin2 A + cos2 A(iv) sec2 A - tan2 A

From the figure (1) given below, find the value of sec θ.

From the figure (1) given below, find the values of:
(i) sin B
(ii) cos C
(iii) sin B + sin C
(iv) sin B cos C + sin C cos B.

From the figure (1) given below, find the values of:
(i) sin θ
(ii) cos θ
(iii) tan θ
(iv) cot θ
(v) sec θ
(vi) cosec θ

From the figure (2) given below, find the values of :
(i) sin A
(ii) cos A
(iii) sin² A + cos² A
(iv) sec² A - tan² A