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Trigonometry Questions & Answers

Q:
Use the power-reducing formulas to rewrite the expression as an equivalent expression that does not contain powers of trigonometric functions greater than 1.
Q:
Solve \( \sin \theta=\frac{1}{2} \)
Q:
Use the power-reducing formulas to rewrite the expression as an equivalent expression that does not contain powers of trigonometric functions greater than 1.
Q:
Find \( \sin ^{-1}\left(\frac{1}{2}\right) \quad \) Solve \( \sin \theta=\frac{1}{2} \)
Q:
Find \( \sin ^{-1}\left(\frac{1}{2}\right) \)
Q:
the power-reducing formulas to rewrite the expression as an ivalent expression that does not contain powers of trigonometric ctions greater than 1 . \( \boldsymbol{\operatorname { s i n }}^{2} x \boldsymbol{\operatorname { c o s }}^{2} x= \)
Q:
La. Gjeni të gjitha vlerat e \( x \) për \( -360^{\circ} \leq x \leq 360^{\circ} \), për të cilat: \( \begin{array}{lll}\text { a } \cos x=0,7 & \text { b } \operatorname{tg} x=2,5 & \text { c } \sin \theta=-0,5\end{array} \)
Q:
5. Ndërtoni grafikët e \( y=\sin x \) dhe \( y=\cos x \) për \( 0^{\circ} \leq x \leq 180^{\circ} \) në të njëjtin sistem koordinativ. a Me anë të grafikëve të ndërtuar, zgjidhni ekuacionin \( \sin x=\cos x \). b Zgiidhni algjebrikisht të njëjtin ekuacion dhe kontrolloni përgjigjet e kërkesës (a). 6 a Tregoni që pika \( \mathrm{P}(2 \cos \alpha, 2 \sin \alpha) \) ndodhet në një rreth me qendër ( 0,0 ). Gjeni rrezen e këtij rrethi. b Tregoni që pika \( Q(1, \sqrt{3}) \) ndodhet në këtë rreth. Gjeni vlerën e \( \alpha \) për pikën \( Q \).
Q:
31. Вычислите: а) \( 2 \arcsin \left(-\frac{\sqrt{3}}{2}\right)+\operatorname{arctg}(-1)+\arccos \frac{\sqrt{2}}{2} \) б) \( 3 \arcsin \frac{1}{2}+4 \arccos \left(-\frac{1}{\sqrt{2}}\right)-\operatorname{arcctg}(-\sqrt{3}) \) в) \( \operatorname{arctg}(-\sqrt{3})+\arccos \left(-\frac{\sqrt{3}}{2}\right)+\arcsin 1 \) г) \( \arcsin (-1)-\frac{3}{2} \arccos \frac{1}{2}+3 \operatorname{arctg}\left(-\frac{1}{\sqrt{3}}\right) \)
Q:
f. \( 3 \cos ^{2}(x)-\sin ^{2}(x)=0 \)

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