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Simplify the trigonometric expression without using a calculator:

$$\cos^{2}{(180^{\circ} + x)}[\tan{(360^{\circ} - x)}.\cos{(90^{\circ} +x)} + \sin{(x - 90^{\circ}}).\cos{180}]$$

in Grade 12 Maths by Bronze Status (8.4k points) | 218 views

1 Answer

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instead of using compound angles given, use reduction formulas and sin-cos complementary/supplementary angles:

=-cosx^2(-tanx.-sinx-sinx.-1)

= -cosx^2(sinx/cosx X -sinx^2-1)

= cosxsinx^3 - 1
by Silver Status (28.5k points)

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