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If a = [ cos θ sin θ − sin θ cos θ ] , then for any natural number, find the value of det (an). He provides courses for maths, science and computer science at teachoo. Is there an error in this question or solution?
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Given, 4 tanθ = 3 ⇒ tanθ = 3 4. Solution if 4 tanθ = 3, then (4 s i n 𝜃 − c o s 𝜃 4 s i n 𝜃 + c o s 𝜃) is equal to 𝟏 𝟐. Ex 8.3, 4 prove the following identities, where the angles involved are acute angles for which the expressions are defined.
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The following identities for the trigonometric ratios explain their periodicity.
Sin θ + cos θ = 1. There are many such identities, either involving the. If sin θ + sin 2 θ = 1, then cos 2 θ + cos 4 θ = is there an error in this question or solution? Trigonometric functions such as sin, cos, tan, cot, sec, and cosec are all periodic and have different periodicities.
∴ the value of sin 2θ is equal to 0. ⇒ 1 + sin 2θ = 1. ⇒ sin 2 θ + cos 2 θ + 2 sin θ cos θ = 1. Trigonometric identities are equations involving trigonometric functions that hold true for all values of the variables within their domains.
(i) ∴ 4 s i n 𝜃 − c o s 𝜃 4 s i n 𝜃 + c o s 𝜃 = 4 s i n 𝜃 c o s 𝜃 − 1 4 s i n 𝜃 c o s 𝜃 + 1.
Squaring both sides, we get: ⇒ sin 2θ = 0.
