If θ is an acute angle and sin θ = cos θ, find the value of
2 tan² θ + sin² θ - 1.

Question

If θ is an acute angle and sin θ = cos θ, find the value of 2 tan^2 θ + sin^2 θ - 1.

KnowledgeBoat · Accepted Answer

Given, sin θ = cos θ ⇒ ⇒ tan θ = 1. ⇒ tan θ = tan 45° ⇒ θ = 45°. ⇒ sin 45° = cos 45° = Substituting values in 2 tan² θ + sin² θ - 1 we get : Hence, 2 tan² θ + sin² θ - 1 = .

Mathematics

If θ is an acute angle and sin θ = cos θ, find the value of
2 tan² θ + sin² θ - 1.

Trigonometrical Ratios

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Mathematics

If θ is an acute angle and sin θ = cos θ, find the value of2 tan2 θ + sin2 θ - 1.

Trigonometrical Ratios

Related Questions

Prove the following :cos θ tan θ = sin θ

Prove the following :sin θ cot θ = cos θ

If θ is an acute angle and sin θ = cos θ, find the value of
2 tan² θ + sin² θ - 1.

Prove the following :
cos θ tan θ = sin θ

Prove the following :
sin θ cot θ = cos θ