Solve for x : cos x 3 – 1 = 0

Solve for x : cos `(x)/(3) –1` = 0

Sum

cos`(x)/(3)` – 1 = 0

cos`(x)/(3)` = 1

`(x)/(3)` = 0°

x =0°

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Trigonometric Equation Problem and Solution

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If 4 cos² x° - 1 = 0 and 0 ∠ x° ∠ 90°,
find:(i) x°
(ii) sin² x° + cos² x°
(iii) `(1)/(cos^2xx°) – (tan^2 xx°)`

State for any acute angle θ whether tan θ increases or decreases as θ decreases.

If sin 3A = 1 and 0 < A < 90^°, find cos 2A

If sin α + cosβ = 1 and α= 90°, find the value of 'β'.

If `sqrt(3)`sec 2θ = 2 and θ< 90°, find the value of θ

In the given figure, PQ = 6 cm, RQ = x cm and RP = 10 cm, find
a. cosθ
b. sin²θ- cos²θ
c. Use tanθ to find the value of RQ

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Express each of the following in terms of trigonometric ratios of angles between 0° and 45°: sin53° + sec66° - sin50°

Evaluate the following: `(2sin25° sin35° sec55° sec65°)/(5tan 29° tan45° tan61°) + (3cos20° cos50° cot70° cot40°)/(5tan20° tan50° sin70° sin40°)`

Prove the following: tanθ tan(90° - θ) = cotθ cot(90° - θ)