If sin 3x = 1 and 0° 3x 90°, find the values of (i) sin x (ii) cos 2x (iii) tan 2 x - sec 2 x.

Given, ⇒ sin 3x = 1 ⇒ sin 3x = sin 90° ⇒ 3x = 90° ⇒ x = ⇒ x = 30°. (i) Substituting value of x in sin x, we get : ⇒ sin x = sin 30° = . Hence, sin x = . (ii) Substituting value of x in cos 2x, we get : ⇒ cos 2x = cos 60° = . Hence, cos x = . (iii) Substituting value of x in tan 2 x - sec 2 x, we get : Hence, tan 2 x - sec 2 x = -1.

If sin x + cos y = 1, x = 30° and y is acute angle, find the value of y.

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If 3 tan² θ - 1 = 0, find cos 2θ, given that θ is acute.

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If sec θ = cosec θ and 0° ≤ θ ≤ 90°, find the value of θ.

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If tan θ = cot θ and 0° ≤ θ ≤ 90°, find the value of θ.

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Mathematics

If sin 3x = 1 and 0° ≤ 3x ≤ 90°, find the values of
(i) sin x
(ii) cos 2x
(iii) tan² x - sec² x.

Trigonometrical Ratios

Related Questions

If sin x + cos y = 1, x = 30° and y is acute angle, find the value of y.

If 3 tan² θ - 1 = 0, find cos 2θ, given that θ is acute.

If sec θ = cosec θ and 0° ≤ θ ≤ 90°, find the value of θ.

If tan θ = cot θ and 0° ≤ θ ≤ 90°, find the value of θ.

Mathematics

If sin 3x = 1 and 0° ≤ 3x ≤ 90°, find the values of(i) sin x(ii) cos 2x(iii) tan2 x - sec2 x.

Trigonometrical Ratios

Related Questions

If sin x + cos y = 1, x = 30° and y is acute angle, find the value of y.

If 3 tan2 θ - 1 = 0, find cos 2θ, given that θ is acute.

If sec θ = cosec θ and 0° ≤ θ ≤ 90°, find the value of θ.

If tan θ = cot θ and 0° ≤ θ ≤ 90°, find the value of θ.

If sin 3x = 1 and 0° ≤ 3x ≤ 90°, find the values of
(i) sin x
(ii) cos 2x
(iii) tan² x - sec² x.

If 3 tan² θ - 1 = 0, find cos 2θ, given that θ is acute.