Answer:
Step-by-step explanation:
If there is a character you cannot type, such as θ, you are better off substituting a different letter, or describing it in words. For example, write it as "sinA" or "sin(theta)"
Never use 0 as a substitute for θ! 0 is a constant with a specific value.
Since the argument of the trig functions is an expression, you should put parentheses around it: sin(2A).
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I used several trigonometric identities for this question:
Double-angle formula for sine: sin(2θ) = 2sinθcosθ
Double-angle formula for tangent: tan(2θ) = 2tanθ/(1-tan²θ)
Quotient identity: tanθ = sinθ/cosθ
Reciprocal identity: secθ = 1/cosθ
Pythagorean identity: 1+tan²θ = sec²θ
2sin(2θ) - tan(2θ) = 0
2sin(2θ) = tan(2θ)
2·2sinθcosθ = 2tanθ/(1-tan²θ)
2sinθcosθ = tanθ/(1-tan²θ)
2sinθcosθ = (sinθ/cosθ ) · 1/(cosθ(1-tan²θ))
2(1-tan²θ) = 1/cos²θ
2(1-tan²θ) = sec²θ
2-2tan²θ) = 1+tan²θ
1 = 3tan²θ
tan²θ = ⅓
tanθ = ±1/√3
θ = 30°, 330°
