The relation between the secant and tangent is used to prove the equation. The detailed description is given below.
<h3>What is trigonometry?</h3>
The connection between the lengths and angles of a triangular shape is the subject of trigonometry.
The equation is given below.
tan⁵ x = tan ³ x sec² x - tan³ x
Taking tan ³ x common then we have
tan⁵ x = tan ³ x (sec² x - 1)
We know that sec² x - 1 = tan² x, then we have
tan⁵ x = tan ³ x (tan² x)
tan⁵ x = tan⁵ x
Hence proved
More about the trigonometry link is given below.
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Answer:
Step-by-step explanation:
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Answer:ΔSRT and ΔTRP
Step-by-step explanation:
We are given that R is a point on hypotenuse SP such that the segment RT is perpendicular to PS, therefore, PR=RS as the perpendicular bisector divides the line segment in two equal halves.
Now,
In ΔSRT and ΔTRP,
PR=SR( Since RT is perpendicular bisector, it divides PS in two equal halves)
∠PRT=∠SRT=90° (RT is perpendicular bisector of PS)
RT=RT(Common)
Therefore, by SAS rule of congruency,
ΔSRT ≅ΔTRP
Hence, Option D is correct.
If the unknown side is a leg, the hypotenuse must be 26 (the longest of the other two sides). Then the Pythagorean theorem tells you
... 26² = 24² + y²
... y = √(26² -24²) = √100 = 10
The appropriate choice is
... 10
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You may recognize that this triangle is double the often-used Pythagorean triple (5, 12, 13).