In the figure, given below, ABC is an isosceles triangle with BC = 8 cm and AB = AC = 5 cm. Find : (i) sin B (ii) tan C. (iii) sin^2 B + cos^2 B (iv) tan C - cot B

In isosceles Δ ABC, the perpendicular drawn from angle A to the side BC divides BC into 2 equal parts. BD = DC = = 4 In Δ ABD, ⇒ AB2 = BD2 \+ AD2 (∵ AB is hypotenuse) ⇒ 52 = 42 \+ AD2 ⇒ 25 = 16 \+ AD2 ⇒ AD2 = 25 \- 16 ⇒ AD2 = 9 ⇒ AD = ⇒ AD = 3 (i) sin B = Hence, sin B = (ii) tan C = Hence, tan C = (iii) sin2 B + cos2 B sin B = cos B = Now, sin2 B + cos2 B Hence, sin2 B + cos2 B = 1. (iv) tan C - cot B tan C = cot B = Now, tan C - cot B Hence, tan C - cot B = .

In the given figure, triangle ABC is right-angled at B. D is the foot of the perpendicular from B to AC. Given that BC = 3 cm and AB = 4 cm. Find :
(i) tan ∠DBC
(ii) sin ∠DBA

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In triangle ABC, AB = AC = 15 cm and BC = 18 cm, find cos ∠ABC.

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Using the measurements given in the following figure :
(i) Find the value of sin Φ and tan θ.
(ii) Write an expression for AD in terms of θ.

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Mathematics

In the figure, given below, ABC is an isosceles triangle with BC = 8 cm and AB = AC = 5 cm. Find :
(i) sin B
(ii) tan C.
(iii) sin² B + cos² B
(iv) tan C - cot B

Trigonometric Identities

Related Questions

In the given figure, triangle ABC is right-angled at B. D is the foot of the perpendicular from B to AC. Given that BC = 3 cm and AB = 4 cm. Find :
(i) tan ∠DBC
(ii) sin ∠DBA

In triangle ABC, AB = AC = 15 cm and BC = 18 cm, find cos ∠ABC.

Using the measurements given in the following figure :
(i) Find the value of sin Φ and tan θ.
(ii) Write an expression for AD in terms of θ.

Mathematics

In the figure, given below, ABC is an isosceles triangle with BC = 8 cm and AB = AC = 5 cm. Find :(i) sin B(ii) tan C.(iii) sin2 B + cos2 B(iv) tan C - cot B

Trigonometric Identities

Related Questions

In the given figure, triangle ABC is right-angled at B. D is the foot of the perpendicular from B to AC. Given that BC = 3 cm and AB = 4 cm. Find :(i) tan ∠DBC(ii) sin ∠DBA

In triangle ABC, AB = AC = 15 cm and BC = 18 cm, find cos ∠ABC.

Using the measurements given in the following figure :(i) Find the value of sin Φ and tan θ.(ii) Write an expression for AD in terms of θ.

In the figure, given below, ABC is an isosceles triangle with BC = 8 cm and AB = AC = 5 cm. Find :
(i) sin B
(ii) tan C.
(iii) sin² B + cos² B
(iv) tan C - cot B

In the given figure, triangle ABC is right-angled at B. D is the foot of the perpendicular from B to AC. Given that BC = 3 cm and AB = 4 cm. Find :
(i) tan ∠DBC
(ii) sin ∠DBA

Using the measurements given in the following figure :
(i) Find the value of sin Φ and tan θ.
(ii) Write an expression for AD in terms of θ.